Basics in Mineral Processing-general

  SOLID MATERIAL SPECIFIC GRAVITY 

MATERIAL Aluminium Lami La mina nate ted d Alu Alumi mini nium um Antimony Asbestos Arsenic (C (Crystalline) Barium Barytes Basalt Beryllium Bismuth Brick - Common Brass - Cast Brass - Laminated Cadmium Calcium Carbon (Diamond) Cement - Portland Chalk Charcoal Chromium Chromium oxyde Clay Coal Co al - Bit Bitum um - Bro Broke ken n Coal Co al - Ant Anthr hr - Bro Broke ken n Cobalt Coke - Loose Concrete Masonry

SPECIFIC GRAVITY  (kg/dm3) 2,70 2,55 - 2,8 2,55 2,80 0 6,68 2,10 - 2,80 5,72 3,59 4,50 2,72 - 3,20 1,82 9,80 1,40 - 2,30 8,40 8,50 8,65 1,55 3,51 3,10 - 3,20 1,80 - 2,80 0,30 - 0,60 7,10 5,21 1,28 - 2,60 1,20 1, 20 - 1,5 1,50 0 1,40 1, 40 - 1,8 1,80 0 8,90 1,00 - 1,40 2,20 - 2,40

(Cement, Stone, Sand,...)

Copper - Pure Copper - Laminated Copper - Cast Corundum Diamond Dolomite Earth - Dry - Loose Eart rth h - Moist - Loose Feldspar

8,92 8,80 8,80 3,90 3,51 2,90 1,20 1,30 2,50

- 8,95 - 8,95 - 4,00

- 2,70

MATERIAL Flint Glass Gold Granite Graphite Grease Gypsum Hornblende Ice Iridium Iron - Raw Iron - Pure Iron - Wrought Iron - Cast Iron - Oxyde Lead Lime Limestone - Solid Lithium Magnesia Magnesium Manganese Marble Mica Molybdenum Mud - River Nickel Palladium Paper Paraffin Platinum Pitch Potassium Quartz Radium Rhodium Rubber

SPECIFIC GRAVITY  (kg/dm3) 3,20 - 4,70 2,40 - 2,80 19,29 2,60 - 2,70 2,26 0,93 2,28 - 2,80 3,00 0,88 - 0,92 22,40 7,0 - 7,80 7,86 7,60 - 7,90 7,40 - 7,80 5,10 11,33 0,85 - 1,0 2,10 - 2,95 0,53 3,04 1,74 7,20 2,30 - 2,70 2,80 - 2,93 10,20 1,44 - 1,84 8,90 12,00 0,75 - 1,15 0,87 - 0,91 21,45 1,07 - 1,25 0,86 2,50 - 2,80 5,00 12,50 0,92 - 0,96

MATERIAL Sand - Dry Sand - Wet Sandstone Schist - Slate Selenium Silicon - Amorphous Silver Sodium Soil Soapstone Snow Snow - Compact Sulphur  Amorphous Monoclinic Rhombic Steel - Cast Talc Tallow Tar Thorium Tungsten Uranium Tin - Cast Tin - Laminated Vanadium Zinc Zinc - Cast Zinc - Laminated Wood - Oak Wood - Bi Birch - Tree Wood - Alden Wood - Charm Wood - Maple - Tree Wood - Pine - Tree Wood - La Larch - Tr Tree

SPECIFIC GRAVITY  (kg/dm3) 1,40 - 1,70 1,89 - 2,16 1,90 - 2,50 2,60 - 2,90 4,26 - 4,80 2,00 10,50 0,97 1,12 2,60 - 2,80 0,12 0,80

1,93 - 2,07 7,80 2,60 - 2,80 0,90 - 1,00 1,00 - 1,20 11,20 19,30 11,28 7,20 - 7,50 7,20 - 7,50 5,96 7,14 6,86 7,15 0,60 - 0,90 0,71 - 0,72 0,55 0,72 0,75 0,43 - 0,67 0,75

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

C I RC R C U LA L A TI T I N G L OA OA D

OF (t/h) c

F (t/h)

BM

X (t/h) a

UF (t/h) b F  X UF OF CL S

= new feed to circuit (tph) = feed to hydrocyclone (tph) = hydrocyclone underflow (tph) = hydrocyclone overflow (tph) = circula circulation tion load (ratio (ratio)) (%) = sieve sieve mesh mesh or or micro micron n size size used used for for evalua evaluatio tion n

a b c

=% pa passi ssing ng selec selected ted siev sieve e size size S in hydro hydrocyc cyclon lone e feed feed =% passin passing g selected selected sieve size S in hydrocyclon hydrocyclone e underflo underflow w =% passi passing ng sel select ected ed sieve sieve size size S in hydro hydrocyc cyclon lone e overflo overflow w

OF (t/h) c F (t/h)

X (t/h) a UF (t/h) b

BM

Circulating load is defined by : C.L. =

UF F

=

c-a a-b

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

 SIEVE 

SIEVE USA - A.S.T.M.E. 11.70 Mesh

3,5 4 5 6 7 8

TYLER

Microns

5.600 4.750 4.000 3.350 2.800 2.360

2,5

Microns 8.000

3,5

5.600

5

4.000

7

2.800

9 12

1.700

16 18 20 25

1.180 1.000 850 710

35

500

45 50 60 70

355 300 250 212

100

150

140 170 200 230 270 325

400 500

106 90 75 63 53 45

38 25

BRITISH STANDARD

12

25

710

35

500

45

355

60 70 80

250 212 180

400

5.600

4 5 6

4.000 3.350 2.800

8

2.000

10

1.700

14 16 18

1.180 1.000 850

25 30

600 500

36 44

425 355

60 72

250 212

100

150

150 170 200 240

106 90 75 63

300

53

350

45

400

38

1.400

1.000

325

3

2.000

18

120 140 170 200 230 270

Microns

125 106 90 75 63 53 45

38

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

M E TR T R I C U N IT IT S

FORCE OR WEIGHT UNITS N* 1N

1 kN 1 MN

1 103 106

kN

10-3 1 103

MN

10-6 10-3 1

(kgf)

0,102 0,102.103 0,102.106

(dyn)

105 108 1011

* 1 Newton = 1 N = 1 kg m/s 2

PRESSURE UNITS Pa 1 Pa = 1N/m2 1 N/mm2 1 bar (1 kgf/am2 = 1at) (1 torr)*

1 106 105 98100 133

N/mm2

10-6 1 0,1 9,81.10-2 0,133.10-3

bar

10-5 10 1 0,981 1,33.10-3

(kgf/cm2)

1,02.10-5 10,2 1,02 1 1,36.10-3

(torr)

0,0075 7,5.103 750 736 1

* 1 Torr = 1/760 atm = 1,33322 mbar   > = 1 mm Hg (mm in a mercury column at t = 0°c)

ENERGY & WORK UNITS 1J 1 kW h (1 kgf m) (1 kcal) (1 ch h)

 J

kW h

1 3,60.106 9,81 4186,8 2,65.106

0,278.10-6 1 2,72.10-6 1,16.10-3 0,736

(kgf m)

0,102 367.103 1 426,9 0,27.106

(kcal)

0,239.10-3 860 2,345.10-3 1 632

(ch h)

0,37.10-6 1,36 3,70.10-6 1,58.10-3 1

* 1 Joule = 1 J = 1 Nm = 1 ws

POWER UNITS  W  1 W* 1 kW (1 kgf m/s) (1 kcal/h) (1 ch)

1 1000 9,81 1,16 736

kW 

10-3 1 9,81.10-3 1,16.10-3 0,736

(kgf m/s)

0,102 102 1 0,119 75

(kcal/h)

0,860 860 8,43 1 632

(ch)

1,36.10-3 1,36 13,3.10-3 1,58.10-3 1

* 1 Watt = 1 W = 1 Nm/s

 VARIOUS 1 Metric carat = 1 ct = 200 mg = 0,2.10-3Kg = 1/5000 kg FINENE FIN ENESS SS OF PR PRECI ECIOU OUS S MET METAL ALS S:   >   > 24 cara carats ts = 1000, 1000,00 00 % 18 cara carats ts = 750,0 750,00 0%   >   > 14 ca carat ratss = 583 583,33 ,33 % 8 car carats ats = 333 333,33 ,33 % The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

F I LL L L I NG N G D E GR GR E E  

Percentage filling following the measurements inside the mill: ST =

π

D 4

2

H1= H -

..........m D 2

2

R= H D ST

(

ST

...........m

D

H

(

) )

2 x H1 D

............ °

xA -Sin A 180°

..........m

 A= 2 x ARCOS D  x S1 = 8

2

π

S1  x 100 ST

H1

 A 2

S1

..........%

= free height above the ball load (in relation with diameter inside of liners) = diameter inside of liners = total area inside of liners

S1 = area of the grinding media R = filling degree in volume (%)

FILLING DEGREE IN VOLUME (%) 180

H/D

2

Filling degree in volume 6 10 14 18 22 26 30 34 38 42 46 50

190

1,0

200 210

0,95

220 230

0,9

240 250

0,85

260 270

0,8

280 290

0,75

300 310

0,7

320

0,65

330 340

0,6

350 360  Angle ∝

0,55

0,5 0

5

10

15

20

25

30

35

40

45

50

Filling degree in volume

n = number of visible lining plates N = number of lining plates per circumference ∝ = Angle ∝

=

n x 360 N © Magotteaux 10.02

FILLING DEGREE 

 VALUES OF ANGLE A AND H/D RATIO IN RELATION TO THE FILLING DEGREE (%) FILLING DEGREE (%)

H/D

 ANGLE A 

FILLING DEGREE (%)

20 20.1 20.2 20.3 20.4 20.5 20.6 20.7 20.8 20.9 21 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 21.9 22 22.1 22.2 22.3 22.4 22.5 22.6 22.7 22.8 22.9 23 23.1 23.2 23.3 23.4 23.5 23.6 23.7 23.8 23.9 24 24.1

.7459 .745 .7441 .7432 .7423 .7414 .7405 .7396 .7387 .7379 .737 .7361 .7352 .7343 .7334 .7325 .7316 .7307 .7299 .729 .7281 .7272 .7263 .7254 .7246 .7237 .7228 .7219 .7211 .7202 .7193 .7184 .7176 .7167 .7158 .7149 .7141 .7132 .7123 .7115 .7106 .7097

121.1 121.3 121.5 121.8 122 122.3 122.5 122.7 123 123.2 123.4 123.7 123.9 124.1 124.3 124.6 124.8 125 125.3 125.5 125.7 125.9 126.2 126.4 126.6 126.8 127.1 127.3 127.5 127.7 128 128.2 128.4 128.6 128.9 129.1 129.3 129.5 129.7 130 130.2 130.6

24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9 25 25.1 25.2 25.3 25.4 25.5 25.6 25.7 25.8 25.9 26 26.1 26.2 26.3 26.4 26.5 26.6 26.7 26.8 26.9 27 27.1 27.2 27.3 27.4 27.5 27.6 27.7 27.8 27.9 28 28.1 28.2 28.3

H/D

.7089 .708 .7072 .7063 .7054 .7046 .7037 .7028 .702 .7011 .7003 .6994 .6986 .6977 .6968 .696 .6951 .6943 .6934 .6926 .6917 .6909 .69 .6892 .6883 .6875 .6866 .6858 .685 .6841 .6833 .6824 .6816 .6807 .6799 .679 .6782 .6774 .6765 .6757 .6748 .674

 ANGLE A 

FILLING DEGREE (%)

130.4 130.8 131 131.3 131.5 131.7 131.9 132.1 132.3 132.6 132.8 133 133.2 133.4 133.6 133.8 134.1 134.3 134.5 134.7 134.9 135.1 135.3 135.5 135.7 136 136.2 136.4 136.6 136.8 137 137.2 137.4 137.6 137.8 138 138.2 138.4 138.7 138.9 139.1 139.3

28.4 28.5 28.6 28.7 28.8 28.9 29 29.1 29.2 29.3 29.4 29.5 29.6 29.7 29.8 29.9 30 30.1 30.2 30.3 30.4 30.5 30.6 30.7 30.8 30.9 31 31.1 31.2 31.3 31.4 31.5 31.6 31.7 31.8 31.9 32 32.1 32.2 32.3 32.4 32.5

H/D

.6732 .6723 .6715 .6707 .6698 .669 .6682 .6673 .6665 .6657 .6648 .664 .6632 .6623 .6615 .6607 .6598 .659 .6582 .6574 .6565 .6557 .6549 .6541 .6532 .6524 .6516 .6508 .6499 .6491 .6483 .6475 .6466 .6458 .645 .6442 .6434 .6425 .6417 .6409 .6401 .6393

 ANGLE A 

139.5 139.7 139.9 140.1 140.3 140.5 140.7 140.9 141.1 141.3 141.5 141.7 141.9 142.1 142.3 142.5 142.7 142.9 143.1 143.3 143.5 143.7 143.9 144.1 144.3 144.5 144.7 144.9 145.1 145.3 145.5 145.7 145.9 146.1 146.3 146.5 146.7 146.9 147.1 147.3 147.5 147.7

© Magotteaux 10.02

 VALUES OF ANGLE A AND H/D RATIO IN RELATION TO THE FILLING DEGREE (%) FILLING DEGREE (%)

H/D

32.6 32.7 32.8 32.9 33 33.1 33.2 33.3 33.4 33.5 33.6 33.7 33.8 33.9 34 34.1 34.2 34.3 34.4 34.5 34.6 34.7 34.8 34.9 35 35.1 35.2 35.3 35.4 35.5 35.6 35.7 35.8 35.9 36 36.1 36.2 36.3 36.4 36.5 36.6 36.7

.6384 .6376 .6368 .636 .6352 .6344 .6336 .6327 .6319 .6311 .6303 .6295 .6287 .6279 .627 .6262 .6254 .6246 .6238 .623 .6222 .6214 .6206 .6197 .6189 .6181 .6173 .6165 .6157 .6149 .6141 .6133 .6125 .6117 .6109 .6101 .6093 .6085 .6077 .6068 .606 .6052

 ANGLE A 

147.8 148 148.2 148.4 148.6 148.8 149 149.2 149.4 149.6 149.8 150 150.2 150.4 150.6 150.8 150.9 151.1 151.3 151.5 151.7 151.9 152.1 152.3 152.5 152.7 152.9 153 153.2 153.4 153.6 153.8 154 154.2 154.4 154.6 154.8 154.9 155.1 155.3 155.5 155.7

FILLING DEGREE (%)

H/D

 ANGLE A 

FILLING DEGREE (%)

36.8 36.9 37 37.1 37.2 37.3 37.4 37.5 37.6 37.7 37.8 37.9 38 38.1 38.2 38.3 38.4 38.5 38.6 38.7 38.8 38.9 39 39.1 39.2 39.3 39.4 39.5 39.6 39.7 39.8 39.9 40 40.1 40.2 40.3 40.4 40.5 40.6 40.7 40.8 40.9

.6044 .3036 .6028 .602 .6012 .6004 .5996 .5988 .598 .5972 .5964 .5956 .5948 .594 .5932 .5924 .5916 .5908 .59 .5892 .5884 .5876 .5868 .586 .5852 .5844 .5836 .5828 .5821 .5813 .5805 .5797 .5789 .5781 .5773 .5765 .5757 .5749 .5741 .5733 .5725 .5717

155.9 156.1 156.3 156.5 156.6 156.8 157 157.2 157.4 157.6 157.8 157.9 158.1 158.3 158.5 158.7 158.9 159.1 159.3 159.4 159.6 159.8 160 160.2 160.4 160.6 160.7 160.9 161.1 161.3 161.5 161.7 161.8 162 162.2 162.4 162.6 162.8 163 163.1 163.3 163.5

41 41.1 41.2 41.3 41.4 41.5 41.6 41.7 41.8 41.9 42 42.1 42.2 42.3 42.4 42.5 42.6 42.7 42.8 42.9 43 43.1 43.2 43.3 43.4 43.5 43.6 43.7 43.8 43.9 44 44.1 44.2 44.3 44.4 44.5 44.6 44.7 44.8 44.9 45 45.1

H/D

.5709 .5701 .5693 .5685 .5678 .567 .5662 .5654 .5646 .5638 .563 .5622 .5614 .5606 .5598 .559 .5583 .5575 .5567 .5559 .5551 .5543 .5535 .5527 .5519 .5511 .5504 .5496 .5488 .548 .5472 .5464 .5456 .5448 .544 .5433 .5425 .5417 .5409 .5401 .5393 .5385

 ANGLE A 

163.7 163.9 164.1 164.2 164.4 164.6 164.8 165 165.2 165.3 165.5 165.7 165.9 166.1 166.3 166.4 166.6 166.8 167 167.2 167.3 167.5 167.7 167.9 168.1 168.3 168.4 168.6 168.8 169 169.2 169.3 169.5 169.7 169.9 170.1 170.3 170.4 170.6 170.8 171 171.2

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

HARDNESS & IMPACT ENERGY 

Hardness conversion table HB

HRc

HB

HRc

HB

HRc

HB

HRc

HB

HRc

160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 350 355 360 365 370 375 380 385 390 395 400 405 410 415 420 425 430 435 440 445 450

7.40 8.40 9.30 10.20 11.10 12.00 12.90 13.80 14.70 15.60 16.40 17.20 18.10 18.90 19.70 20.50 21.30 22.10 22.90 23.70 24.40 25.20 25.90 26.60 27.30 28.10 28.80 29.40 30.10 30.80 31.50 32.10 32.70 33.40 34.00 34.60 35.20 35.80 36.40 37.00 37.50 38.10 38.60 39.20 39.70 40.20 40.70 41.20 41.70 42.20 42.70 43.10 43.60 44.00 44.40 44.90 45.30 45.70 46.10

161 166 171 176 181 186 191 196 201 206 211 216 221 226 231 236 241 246 251 256 261 266 271 276 281 286 291 296 301 306 311 316 321 326 331 336 341 346 351 356 361 366 371 376 381 386 391 396 401 406 411 416 421 426 431 436 441 446

7.60 8.60 9.50 10.40 11.30 12.20 13.10 14.00 14.90 15.70 16.60 17.40 18.20 19.10 19.90 20.70 21.50 22.30 23.00 23.80 24.50 25.30 26.00 26.80 27.50 28.20 28.90 29.60 30.30 30.90 31.60 32.20 32.90 33.50 34.10 34.70 35.30 35.90 36.50 37.10 37.60 38.20 38.70 39.30 39.80 40.30 40.80 41.30 41.80 42.30 42.70 43.20 43.70 44.10 44.50 44.90 45.30 45.70

162 167 172 177 182 187 192 197 202 207 212 217 222 227 232 237 242 247 252 257 262 267 272 277 282 287 292 297 302 307 312 317 322 327 332 337 342 347 352 357 362 367 372 377 382 387 392 397 402 407 412 417 422 427 432 437 442 447

7.80 8.70 9.70 10.60 11.50 12.40 13.30 14.20 15.00 15.90 16.70 17.60 18.40 19.20 20.00 20.80 21.60 22.40 23.20 24.00 24.70 25.50 26.20 26.90 27.60 28.30 29.00 29.70 30.40 31.10 31.70 32.40 33.00 33.60 34.20 34.90 35.50 36.00 36.60 37.20 37.80 38.30 38.90 39.40 39.90 40.40 40.90 41.40 41.90 42.40 42.80 43.30 43.70 44.20 44.60 45.00 45.40 45.80

163 168 173 178 183 188 193 198 203 208 213 218 223 228 233 238 243 248 253 258 263 268 273 278 283 288 293 298 303 308 313 318 323 328 333 338 343 348 353 358 363 368 373 378 383 388 393 398 403 408 413 418 423 428 433 438 443 448

8.00 8.90 9.90 10.80 11.70 12.60 13.50 14.30 15.20 16.10 16.90 17.80 18.60 19.40 20.20 21.00 21.80 22.50 23.30 24.10 24.90 25.60 26.30 27.10 27.80 28.50 29.20 29.90 30.50 31.20 31.80 32.50 33.10 33.80 34.40 35.00 35.60 36.20 36.70 37.30 37.90 38.40 39.00 39.50 40.00 40.50 41.00 41.50 42.00 42.50 42.90 43.40 43.80 44.30 44.70 45.10 45.50 45.90

164 169 174 179 184 189 194 199 204 209 214 219 224 229 234 239 244 249 254 259 264 269 274 279 284 289 294 299 304 309 314 319 324 329 334 339 344 349 354 359 364 369 374 379 384 389 394 399 404 409 414 419 424 429 434 439 444 449

8.20 9.10 10.00 11.00 11.90 12.80 13.60 14.50 15.40 16.20 17.10 17.90 18.70 19.50 20.40 21.20 22.00 22.70 23.50 24.30 25.00 25.70 26.50 27.20 27.90 28.60 29.30 30.00 30.70 31.30 32.00 32.50 33.30 33.90 34.50 35.10 35.70 36.30 36.90 37.40 38.00 38.50 39.10 39.60 40.10 40.60 41.10 41.60 42.10 42.60 43.00 43.50 43.90 44.40 44.80 45.20 45.60 46.00

Euronorm 8 (Technical note Quality Group n°06 02/92 

HB

HRc

455 460 465 470 475 480 485 490 495 500 505 510 515

47.00 47.70 48.40 48.70 49.10 49.50 49.80 50.10 50.40 51.20 51.90 -

HB

HRc

HB

HRc

HB

HRc

HB

HRc

520 525 530 535 540 545 550 555 560 565 570 575 580

52.60 53.10 53.80 54.00 54.50 55.00 55.20 55.70

585 590 595 600 605 610 615 620 625 630 635 640 645

56.30 56.80 57.40 58.00 59.00 60.00

650 655 660 665 670 675 680 685 690 695 700 705 710

61.00 62.00 62.50 63.00 63.80 -

720 725 730 735 740 745 750 755 760 765 770

64.60 65.00 65.70 66.40 67.00

”MAGOTTEAUX GROUP’s table” for the conversion of the HB values > 450 in Rc values (Technical note Quality Group n°06 02/92)  References: several extrapolations, among them DIN until 620 HB.

© Magotteaux 10.02

IMP IM PACT EN ENER ERG GY OF BA BALL LLS S Mill diameter (M)

5

Ø 50mm Ø 60mm Ø 70mm (0.500K) (0.864K) (1.372K)

Ø 80mm (2.048K)

Ø 90mm (2.916K)

Ø 100mm (4.001K)

Ø 110mm (5.325K)

Ø 125mm (7.814K)

4 3,8 3,6 3,4 3,2 3

Impact energy of balls as a function of mill diameters at 72% critical speed

2

Impact  energy (kgfm) 1 5

10

15

Mill critical speed = 42.3 or 76.63 D1 D2 D1 = diameter in m D2 = diameter in ft 

20

MINE MI NERA RAL L HA HARD RDNE NESS SS AN AND D CH CHEM EMIC ICAL AL CO COMP MPOS OSIT ITIO ION N Minerals

Mohs

Mineral composition

Galena Cuprite Chalcosine Calcite Bornite Chalcopyrite Blende Pyrrhotite Dolomite Malachite

2-3 3.5 - 4 2.5 - 3 3 3 3-4 3-4 4 3.4 - 4 3.5 - 4

PbS Cu2O Cu2S CaCo3 Cu5FeS4 CuFeS2 ZnS FeS (Ca, Mg) (Co 3)2 CuCO3.Cu(OH)2

Magnetite Amphibole Pyroxenes Hematite Olivine Epidotes Feldspath Pyrite Chromite Garnets Quartz

5.5 - 6 5.5 - 6 5.5 - 6 5.5 - 6 6.5 - 7 6.5 6 - 6.5 6 - 6.5 5.5 6.5 - 7.5 7

Fe 3O4 (MgO, FeO).SiO 2 Fe 2O3 (FeMg)2SiO4 Ca2(Al, Fe)3Si3O12(OH) K(AlSi 3)O8 FeS2 FeO.Cr2O3 X3 Y2Si3O12 SiO2

Ferrite Pearlite Bainite Martensite Iron carbides Cr Carbides

100 - 200 HV 300 - 500 HV 600 - 700 HV 800 - 1000 HV 1100 HV 1500 - 2000 HV

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

U N IT I T S C O NV N V E RS R S I ON ON

HANDY HAN DY MUL MULTIP TIPLIE LIERS RS Multiply  Acres Acres Acres Atmospheres Atmospheres Atmospheres Atmospheres Atmospheres Atmospheres British Thermal Units Brititis Br ishh Th Ther erma mall Un Unititss British Thermal Units Brititis Br ishh Th Ther erma mall Un Unititss B.T.U. B.T.U./min B.T.U./min B.T.U./min Centares (Centiares) Centigrams Centiliters Centimeters Centimeters Centimeters Centimeters of mercur y Centimeters of mercur y Centimeters of mercur y Centimeters of mercur y Centimeters of mercur y Centimeters/sec. Centimeters/sec. Centimeters/sec. Centimeters/sec. Centimeters/sec. Centimeters/sec. Cubic centimeters Cubic centimeters Cubic centimeters Cubic centimeters Cubic centimeters Cubic feet Cubic feet Cubic feet Cubic feet Cubic feet Cubic feet/min. Cubic feet/min. Cubic feet/min. Cubic feet/sec. Cubic inches Cubic inches Cubic inches Cubic inches Cubic inches Cubic meters Cubic meters Cubic meters Cubic meters Cubic meters Decigrams Deciliters Decimeters Degrees (angle) Degrees (angle) Degrees (angle) Degrees/sec. Degrees/sec. Degrees/sec. Dekagrams Dekaliters Dekameters

By 43,560 4047 -3 1.562x10 76.0 29.92 33.90 10,333 14.70 1.058 0.2520 3.92 3. 927x 7x10 10-4 107.5 2.92 2. 928x 8x10 10-4 1.055056 0.02356 0.01757 17.57 1 0.01 0.01 0.3937 0.1 10 0.01316 0.4461 136.0 27.85 0.1934 1.969 0.03281 0.036 0.6 0.02237 3.728x10-4 3. 53 531x10-5 6. 10 102x10-2 10-6 2. 64 642x10-4 10-3 2.832x104 1728 0.02832 7.48052 28.32 472.0 0.1247 0.4720 448.831 16.39 5.787x10 -4 1.639x10 -5 4.329x10 -3 1.639x10-2 106 35.31 61.023 264.2 103 0.1 0.1 0.1 60 0.01745 3600 0.01745 0.1667 0.002778 10 10 10

To obtain Square feet   Square meters Square miles Cms. of mercur y Inches of mercur y Feet of water Kgs./sq. meter Lbs./sq. Inch Tons/sq. ft. Kilogram-calories Horsepower-hrs Kilogram-meters Kilowatt-hrs Kilojoule Horsepower Kilowatts Watts Square meters Grams Liters Inches Meters Milimeters Atmospheres Feet of water Kgs./sq. meter Lbs./sq. ft. Lbs./sq. inch Feet/min. Feet/sec. Kilometers/hr. Meters/min. Miles/hr. Miles/min. Cubic feet  Cubic inches Cubic meters Gallons Liters Cubic cms. Cubic inches Cubic meters Gallons Liters Cubic cms./sec. Gallons/sec. Liters/sec. Gallons/min. Cubic centimeters Cubic feet  Cubic meters Gallons Liters Cubic centimeters Cubic feet   Cubic inches Gallons Liters Grams Liters Meters Minutes Radians Seconds Radians/sec. Revolutions/min. Revolutions/sec. Grams Liters Meters

Multiply  Feet Feet Feet Feet of water Feet of water Feet of water Feet of water Feet of water Gallons Gallons Gallons Gallons Gallons Gallons-Imperial Gallons-U.S. Grams Grams Grams Grams Grams Grams/liter Hectares Hectares Hectograms Hectoliters Hectometers Hectowatts Horsepower Horsepower Horsepower Horsepower Horsepower Horsepower-hours Horsepower-hours Horsepower -h -hou rs rs Horsepower-hours Inches Inches of mercur y Inches of mercur y Inches of water Inches of water Inches of water Inches of water Kilograms Kilograms Kilograms Kilograms Kilograms-calories Kilograms-calories Kil iloogr graams ms-c -cal aloori ries es Kil iloogr graams ms-c -cal aloori ries es Kilograms-calories Kilograms-cal./min. Kilograms-cal./min. Kgs./sq. meter Kgs./sq. meter Kgs./sq. meter Kiloliters Kilometers Kilometers Kilometers Kilometers Kilometers Kilometers/hr. Kilometers/hr. Kilometers/hr. Kilometers/hr. Kilowatts Kilowatts Kilowatts

By 30.48 12 0.3048 0.02950 0.8826 304.8 62.43 0.4335 3785 0.1337 231 3.785x10-3 3.785 1.20095 0.83267 980.7 103 0.03527 0.03215 2.205x10-3 1000 2.471 1.076x105 100 100 100 100 42.44 1.014 10.70 0.7457 745.7 2547 641.7 2.737x105 0.7457 2.540 0.03342 1.133 0.07355 25.40 5.202 0.03613 980.665 2.205 1.102x10-3 103 3.968 3086 1.55 1. 558x 8x1 10-3 1.16 1. 162x 2x1 10-3 4.1868 0.09351 0.06972 9.678x10-5 3.281x10-3 2.896x10-3 103 105 3281 103 0.6214 1094 27.78 54.68 0.9113 0.6214 56.92 1.341 14.34

To obtain Centimeters Inches Meters Atmospheres Inches of mercur y Kgs./sq. meter Lbs./sq. ft. Lbs./sq. inch Cubic centimeters Cubis feet   Cubic inches Cubic meters Liters U.S. Gallons Imperial Gallons Dynes Milligrams Ounces Ounces (troy) Pounds Parts/million Acres Square feet  Grams Liters Meters Watts B.T.U./min. Horsepower (metric) Kg-calories/min. Kilowatts Watts B.T.U. Kilogram-calories Kilogram-meters Kilowatt-hours Centimeters Atmospheres Feet of water Inches of mercur y Kgs./sq. meter Lbs./sq. foot   Lbs./sq. inch Dynes L b s. Tons (short) Grams B.T.U. Foot-pounds Horsepower-hrs. Kilowatt-hours Kilojoule Horsepower Kilowatts  Atmospheres Feet of water Inches of mercury Liters Centimeters Feet   Meters Miles Yards Cms./sec. Feet/min. Feet/sec. Miles/hr. B.T.U./min. Horsepower Kg-calories/min.

© Magotteaux 10.02

Multiply  Kilowatts Kilowatt-hours Kilowatt-hours Kilowatt-hours Kilowatt-hours Liters Liters Liters Liters Liters Meters Meters Meters Meters Meters Meters Meters/min. Meters/min. Meters/min. Meters/min. Meters/min. Meters/sec. Meters/sec. Meters/sec. Meters/sec. Meters/sec. Meters/sec. Microns Miles Miles Miles Miles Miles/hr. Milliers Milligrams Milliliters Millimeters Millimeters Milligrams/liter Minutes (angle) Ounces Ounces Ounces Ounces Ounces Ounces (troy) Ounces (troy) Par tsts/millions (by weight) Pounds Pounds Pounds Pounds Pounds Pounds (troy) Pounds (troy) Pounds (troy) Pounds (troy) Pounds (troy) Quadrants (angle) Quadrants (angle) Quadrants (angle) Radians Radians Radians Radians/sec. Radians/sec. Radians/sec.

By 103 3415 1.341 860.5 3.671x10 5 103 0.03531 61.02 10-3 0.2642 100 3.281 39.37 10-3 103 1.094 1.667 3.281 0.05468 0.06 0.03728 196.8 3.281 3.6 0.06 2.237 0.03728 10-6 1.609x105 5280 1.609 1760 1.609 103 10-3 10-3 0.1 0.03937 1 2.909x10-4 0.0625 28.349527 0.9115 2.790x10-5 2.835x10-5 0.08333 31.103481 8.345 16 0.0005 453.5924 1.21528 14.5833 12 373.24177 3.6735x10-4 4.1143x10-4 3.7324x10-4 90 5400 1.571 57.30 3438 0.637 57.30 0.1592 9.549

To obtain

Multiply 

 Watts B.T.U. Horsepower-hrs. Kilogram-calories Kilogram-meters Cubic centimeters Cubic feet   Cubic inches Cubic meters Gallons Centimeters Feet   Inches Kilometers Millimeters Yards Centimeters/sec. Feet/min. Feet/sec. Kilometers/hr. Miles/hr. feet/min. Feet/sec. Kilometers/hr. Kilometers/min. Miles/hr. Miles/min. Meters Centimeters Feet   Kilometers Yards Kilometers/hr. Kilograms Grams Liters Centimeters Inches Par ts/million Radians Pounds Grams Ounces (troy) Tons (long) Tons (metric) Pounds (troy) Grams Lbs./million gal. Ounces Tons (short) Grams Pounds (troy) Ounces (troy) Ounces (troy) Grams Tons (long) Tonss (shor t) Ton Tons (metric) Degrees Minutes Radians Degrees Minutes Quadrants Degrees/sec. Revolutions/sec. Revolutions/min.

Radians/sec./sec. Radians/sec./sec. Revolutions Revolutions Revolutions Revolutions/min. Revolutions/min. Revolutions/min. Revo Re volu lutition ons/ s/mi min. n./m /min in.. Revo Re volu lutition ons/ s/mi min. n./m /min in.. Revolutions/sec. Revolutions/sec. Revolutions/sec. Revolutions/sec./sec. Revolutions/sec./sec. Seconds (angle) Squa uare re ce cent ntim imet eter erss Square centimeters Square centimeters Square centimeters Square feet Square feet Square feet Square feet Square inches Square inches Square inches Square kilometers Squ ar are kilomete rs rs Square kilometers Square kilometers Square meters Square meters Square meters Square miles Square miles Square miles Square millimeters Squ ar are millime te ter s Temp.(°C.) + 273 Temp.(°C.) + 17.78 Temp.(°F.) + 460 Temp.(°F.) - 32 Tons (long) Tons (long) Tons (long) Tons (metric) Tons (metric) Tons (short) Tons (short) Tons (short) Tons (short) Tons (short) Tons (short) Tons (short) Watts Watts Watts Watts Watt-hours Watt-hours Watt-hours Watt-hours Watt-hours Yards Yards Yards Yards

Remarks: -English Measures-are those used in the U.S.A., unless otherwise designated. -Properties -Properti es of water - the calculations in the multipliers are based on water at 39,2°F. in a Vacuum, Weighing 1000,08 grams/Cu.Cm. The water freezes at 32°F (0°), and is at its maximum density at 39.2°F (4°C).

By

To obtain

573.0 0.1592 360 4 6.283 6 0.1047 0.01667 1.74 1. 745x 5x10 10-3 2.77 2. 778x 8x10 10-4 360 6.283 60 6.283 3600 4.848x10-6 1.0 1. 076 76x1 x10 0-4 0.1550 10-4 100 2.296x10-5 929.0 144 0.09290 6.452 6.944x10-3 645.2 247.1 10.76x106 106 0.3861 2.471x10-4 10.76 3.861x10-7 640 27.88x106 2.590 0.01 1.550x10-3 1 1.8 1 5/9 1016 2240 1.12000 103 2205 2000 32,000 907.18486 2430.56 0.89287 29166.66 0.90718 0.05692 -3 1.341x10 0.01434 -3 10 3.415 1-3.341x10 0.8605 367.1 -3 10 91.44 3 36 0.9144

Revs./min./min. Revs./sec./sec. Degrees Quadrants Radians Degrees/sec. Radians/sec. Revolutions/sec. Rads/sec./sec. Revs/sec./sec. Degress/sec. Radians/sec. Revolution/min. Radians/sec./sec. Revs./min./min. Radians Square feet  Square inches Square meters Square millimeters  Acres Square centimeters Square inches Square meters Square centimeters Square feet  Square millimeters Acres Square feet  Square meters Square miles  Acres Square feet   Square miles Acres Square feet  Square kilometers Square centimeters Square inches Abs. Temp. (°C.) Temp. (°F.) Abs. Temp. (°F.) Temp. (°C.) Kilograms Pounds Tons (shor t) Kilograms Pounds Pounds Ounces Kilograms Pounds (troy) Tons (long) Ounces (troy) Tons (metric) B.T.U./min. Horsepower Kg.-calories/min. Kilowatts B.T.U. Horsepower-hrs. Kilogram-calories Kilogram-meters Kilowatt-hours Centimeters Feet   Inches Meters

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

U N IT I T S C O NV N V E RS R S I ON ON

COMPARISON OF METRIC UNITS AND GB-USA UNITS LENGHT UNITS 1 1 1 1 1 1

in ft yd mm m km

in

ft

 yd

1 12 36 0,03937 39,37 39370

0,08333 1 3 3281.10-6 3,281 3281

0,02778 0,3333 1 1094.10-6 1,094 1094

sq ft

sq yd

mm

25,4 304,8 914,4 1 1000 106

m

km

0,0254 0,3048 0,9144 0,001 1 1000

10-6 0,001 1

dm2

m2

0,06452 9,29 83,61 0,01 1 100

64,5.10-5 0,0929 0,8361 0,0001 0,001 1

dm3

m3

0,01639 28,32 764,55 0,001 1 1000

1,64.10-5 0,0283 0,7646 10-6 0,001 1

kg

mg

0,00177 0,02832 0,4531 0,001 1 1000

1,77.10-6 28,3.10-6 4,53.10-4 10-6 0,001 1

SURFACE UNITS sq in 1 1 1 1 1 1

sq in sq ft sq yd cm 2 dm2 m2

1 144 1296 0,155 15,5 1550

6,944.10-3 1 9 1,076.10-3 0,1076 10,76

0,772.10-3 0,1111 1 1,197.10-3 0,01196 1,196

cm2

6,452 929 8361 1 100 10000

 VOLUME UNITS cu in 1 1 1 1 1 1

cu in cu ft cu yd cm 3 dm3 m3

1 1728 46656 0,06102 61,02 61023

cu ft

5,786.10-4 1 27 3532.10-8 0,03532 35,32

cu yd

2,144.10-5 0,037 1 1,31.10-6 0,00131 1,307

cm3

16,39 28316 764555 1 1000 106

MASS UNITS 1 1 1 1 1 1

dram oz ib g kg mg

dram

oz

ib

1 16 256 0,5643 564,3 564,3.103

0,0625 1 16 0,03527 35,27 35270

0,003906 0,0625 1 0,002205 2,205 2205

g

1,772 28,35 453,6 1 1000 106

© Magotteaux 10.02

ENERGY & WORK UNITS ft Ib 1 1 1 1 1 1

ft lb kgf m J=Ws kW h kcal Btu

kgf m

1 7,233 0,7376 2,655.106 3,087.103 778,6

 J = W s

0,1383 1 0,102 367,1.103 426,9 107,6

1,356 9,807 1 3,6.106 4187 1055

kgf m/s

 J/s = W 

76,04 1 0,102 102 426,9 107,6

745,7 9,807 1 1000 4187 1055

kW h

kcal

Btu

376,8.10-9 2,725.10-6 277,8.10-9 1 1,163.10-3 293.10-6

324.10-6 2,344.10-3 239.10-6 860 1 0,252

1,286.10-3 9,301.10-3 948,4.10-6 3413 3,968 1

kW 

kcal/s

Btu/s

0,7457 9,807.10-3 10-3 1 4,187 1,055

0,1782 2,344.10-3 239.10-6 0,239 1 0,252

0,7073 9,296.10-3 948,4.10-6 0,9484 3,968 1

POWER UNITS hp 1 1 1 1 1 1

hp kgf m/s J/s = W kW kcal/s Btu/s

1 13,15.10-3 1,341.10-3 1,341 5,614 1,415

OTHER UNITS 1 1 1 1

Btu/cu ft Btu/lb l b/ s q f t lb/sq in (= 1 psi)

9,547 kcal/m3 0, 5 56 k c a l / k g 4,882 kgf/m2 0,0703 kgf/cm2

1 1 1 1 1 1 1

stone (GB) = 14 lb = 14 English Pounds shor t quar ter (USA) long quar ter (GB, USA) shor t cwt (USA) = 4 shor t quar ter long cwt (GB, USA) = long quar ter shor t ton (USA) long ton (GB, USA)

1 1 1 1 1 1 1 1 1

Mil = 10-3 in sq mil = 10-6 sq in statute mile (English mile) i n t e r n at i o nal n au t i c a l m i l e geographical mile rod, pole or perch = 5,5 yd sq chain = 16 sq rods imperial gallon (English) gallon USA

39 964 Nm/m3 2 327 Nm/kg 47,8924 N/m2 0,6896 N/cm2 6,35 kg 11,34 kg 12,70 kg 45,36 kg 50,80 kg 0, 90 72 M g 1, 016 0 M g 0,0254 mm 645,2 µm2 160 9 m 185 2 m 7 420 m 5, 09 2 m 404,7 m2 4,546 dm3 3,785 dm3

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

GRINDING MEDIA CHARACTERISTICS

Composition and surface of MAGOTTEAUX ball charges at equilibrium

Calculation made for 100 metric ton charges Diameter  Weight (mm) (gr)

Surface (cm2)

125 (kg)

110 (kg)

100 (kg)

90 (kg)

80 (kg)

70 (kg)

60 (kg)

50 (kg)

40 (kg)

30 (kg)

25 (kg)

125

7977

491

7 987

120 115 110

7057 6211 5436

452 415 380

14 133 12 439 10 886

9 072

105 100 95

4728 4084 3502

346 314 284

9 468 8 179 7 012

15 781 13 632 11 688

9 975 17 105

90 85 80 75 70

2977 2508 2091 1723 1401

254 227 201 177 154

5 962 5 023 4 188 3 451 2 805

9 938 8 372 6 980 5 751 4 676

14 544 12 252 10 215 8 417 6 843

11 077 18 664 15 560 12 821 10 424

12 452 20 520 16 684

14 215

65 60 55

1122 882 679

133 113 95

2 246 1 767 1 361

3 744 2 945 2 268

5 479 4 309 3 319

8 346 6 564 5 056

13 358 10 506 8 093

22 762 17 903 13 790

16 555 25 503

50 45

511 372

79 64

1 022 745

1 704 1 242

2 494 1 818

3 799 2 769

6 080 4 432

10 361 7 553

19 161 13 968

19 810 28 883

40 35 30

261 175 110

50 38 28

523 351 221

872 584 368

1 277 855 539

1 945 1 303 821

3 113 2 085 1 313

5 305 3 554 2 238

9 810 6 572 4 139

20 285 13 590 8 558

24 639 33 013 20 789

32 530

25 20 15

64 33 14

20 13 7

128 65 28

213 109 46

312 160 67

475 243 103

760 389 164

1 295 663 280

2 395 1 226 5 17

4 952 2 536 1 070

12 031 6 160 2 599

37 651 19 277 8 133

38 700 39 628 16 718

10 4 3 Charge in metric tons (mt) Quantity of balls of each diameter

8 100

14 100

20 100

30 100

49 100

83 100

153 100

317 100

770 100

2 41 0 1 00

4 954 100

2 003 820 820

3 338 931 932

4 885 1 024 1 025

7 441 1 137 1 138

11 910 1 279 1 280

20 295 1 460 1 462

37 533 1 701 1 703

77 608 2 036 2 038

188 530 2 532 2 534

590 009 3 336 3 333

1 212 898 3 953 3 941

Total surface calculated with 5 mm step Total surface calculated by integral (m2)

Diameter  Weight (inch) (gr)

Surface (cm2)

5” to 4” to 31/2” to 3” to 21/2” to 2” to 11/2” to 11/4” to 1” to 7/8” to ± 3/8” ± 3/8” ± 3/8” ± 3/8” ± 3/8” ± 3/8” ± 3/8” ± 3/8” ± 3/8” ± 3/8”

± 3/8”

to ± 3/8”

3/4”

to

5/8”

5” 4” 1/2” 3 3” 1/2” 2

8,195.894 4,196.298 2,811.192 1,770.313 1,024.487

506.707 324.293 248.287 182.415 126.677

43.069 22.052 14.773 9.303 5.384

38.736 25.950 16.342 9.457

42.356 26.673 15.436

46.272 26.778

49.841

2” 1/2” 1 11/4”

524.537 221.289 128.061

81.073 45.604 31.669

2.756 1.163 0.673

4.842 2.043 1.182

7.903 3.334 1.929

13.710 5.784 3.347

25.519 10.766 6.230

50.876 21.463 12.421

43.693 25.285

44.906

1”

65.567 43.895

20.268 15.511

0.344 0.231

0.605 0.405

0.988 0.661

1.714 1.147

3.190 2.135

6.359 4.258

12.946 8.667

22.992 15.392

41.732 27.938

47.947

11.401 7.917 3.142

0.145 0.084 0.021

0.255 0.148 0.037

0.417 0.241 0.060

0.723 0.418 0.105

1.346 0.778 0.195

2.683 1.551 0.388

5.462 3.158 0.790

9.700 5.608 1.403

17.605 10.178 2.547

30.214 17.468 4.370

58.046 33.559 8.396

79.988 20.012

100 5,255 843.41 823.06

100 9,231 1,013.80 1,028.40

100 15,067 1,166.13 1,174.84

100 26,138 1,374.01 1,374.68

100 48,650 1,669.97 1,641.43

100 96,993 2,100.72 2,045.94

100 197,447 2,675.64 2,707.98

100 350,660 3,152.71 3,222.51

100 636,473 3,706.70 3,961.06

100 1,092,311 4,147.61 4,460.33

100 2,098,460 4,713.14 5,081.29

100 5,001,751 5,531.44 5,865.57

7/8”

27.661 5/8” 15.992 4.001 ±3/8” Charge in metric tons (mt) 3/4”

Quantity of balls of each diameter Total surface calculated with existing ball diameter (m 2)

Total surface calculated by integral (m2)

© Magotteaux 10.02

Unit weight and specific surface of MAGOTTEAUX grinding media BALLS Diameter mm inch 150.00 125.00 110.00 100.00 90.00 80.00 77.00 70.00 64.00 60.00 50.00 40.00 38.00 35.00 31.75 30.00 25.00 23.00 22.22 20.00 17.00 15.00 10.00

±6” ±5” ±4” ±31/2” ±3” ±21/2” ±2” ±11/2” =11/4” ±1” =7/8” ±3/4” ±5/8”

 Weight (gr)

Surface (cm2)

Number of balls per metric ton

Specific surface (m2/mt)

13,503.892 7,814.752 5,325.535 4,001.153 2,916.841 2,048.590 1,826.658 1,372.396 1,048.878 864.249 500.144 256.074 219.551 171.549 128.061 108.031 62.518 48.682 43.895 32.009 19.658 13.504 4.001

706.858 490.874 380.133 314.159 254.469 201.062 186.265 153.938 128.680 113.097 78.540 50.265 45.365 38.485 31.669 28.274 19.635 16.619 15.511 12.566 9.079 7.069 3.142

74 128 188 250 343 488 548 729 954 1,157 2,000 3,905 4,555 5,830 7,809 9,257 15,996 20,542 22,782 31,242 50,870 74,052 249,938

5.231 6.283 7.147 7.854 8.728 9.812 10.207 11.222 12.276 13.085 15.708 19.628 20.664 22.437 24.730 26.173 31.408 34.139 35.337 39.259 46.185 52.347 78.531

 Weight (gr)

Surface (cm2)

Number of cylpebs per metric ton

Specific surface (m2/mt)

Ball diameter (mm) = (P=weight in gr)

3 250P

 Specific surface of balls 785 m2/mt of diameter = d (d=diameter in mm)

CYLPEBS Diameter  x Length (mm) 43 34 35 30 28 25 22 19 16 13 10 10 8 8

x x x x x x x x x x x x x x

43 43 40 30 28 25 22 19 16 13 15 13 13 10

565.00 417.00 328.00 180.00 149.00 105.00 74.00 48.00 27.00 13.42 8.40 6.40 4.64 3.23

90.16 75.34 64.87 43.64 38.05 30.32 23.62 17.85 12.56 8.18 7.14 6.34 4.89 3.93

1,770 2,398 3,049 5,556 6,711 9,524 13,514 20,833 37,037 74,516 119,048 156,250 204,499 309,598

15.960 18.066 19.770 24.246 25.535 28.877 31.920 37.187 46.518 60.954 85.000 99.062 100.000 121.672

Charge density: mt/M 3 Balls . . . . . . . . . . . . . .4.65 Cylpebs Cylpe bs . . . . . . . . . . .4.70 Cubes . . . . . . . . . . . . .5.50 Rods . . . . . . . . . . . . . .6.20 Ceramic Cera mic Balls Balls . . . . . . .2.05 .2.05

BOULPEBS Diameter  x Length (mm) 25 22 19 16 13

x x x x x

32 28 24 20 16

 Weight (gr) 101 65 41 26 13

Surface (cm2) 27.78 21.37 15.79 11.06 7.16

Number of boulpebs per metric ton

9,901 15,385 24,390 38,462 76,923

Specific surface (m2/mt) 27.505 32.877 38.512 42.539 55.077

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02

WATER SLURRY PROPERTIES

THOSE WORKING WITH WATER SLURRIES are interested in the solids specific gravity (S), the percent solids by weight (W), the specific gravity of the slurry mixture (M), and the percent solids by volume (V). The relationships are shown on the nomograph here, prepared prepared by F. F. Caplan, a

professional engineer, engineer, of Oakland, Calif. If any two properties are known, the other two are fixed. The nomograph gives a rapid simultaneous solution to the equations. Example: What are M and V if S = 2.5 and W = 62.5%? Align the S and W values and read M = 1.60 and V = 40%.

 Water slurry properties

 9 0

90

1,1

F. Caplan, P.E., Oakland, Calif.

1  , 1  12     1  , 1  15    

 8 0

1  , 2   2  

80  7 0

1,2

    y      t      i     v    r   a    g        i   c       f 1  , 4   4        i    e   c    p     s    s 1  , 5        d 5        i       l    s   o 1  , 6   6      =      S 1  , 3   3  

  e    m   u     l   o  6 0    v    y     b     %  ,   s     d    i  5 0     l   o   s   =     V

70

60

1  , 7   7  

 4 0

50

1  , 8   8   1  , 9   9   2  

  s     d    i     l   o   s    %  .    t   w   =    W

 3 0

2    , 5   5    2 0

3  

40

20

M=

1,4

5   6  

1,6

EQUATIONS: 30

 .    G  .    S   e   r   u    t   x    i   m   y   r   r   u     l   s   =    M

1,5

4  

 1 0

1,3

100 (100-W)+ W S

=

(100-V) (100-W)

=

((100-W) )+ 1  W +1 ((100-W) ) S  W

1,7

1,8

1,9 10

2

© Magotteaux 10.02

SLURRIES SPECIFIC GRAVITY  Calculation of the pulp density:

(

% water  1 - % water 

)

+1

= gr/l % water  1 - % water 

+

1 spec. gravity 

SPECIFY GRAVITY OF PULP  WATER SOLID RAT SOLID RATIO IO

SPECIFIC GRAVITY OF THE DRY SOLIDS IN THE PULP

% Solids by Weight

1.4

2 .2

2.6

2 .7

2 .8

2.9

3. 0

3 .2

3. 4

3 .8

4 .2

5.0

5

1.02

1.03

1.03

1.03

1.03

1.03

1.03

1.04

1.04

1.04

1.04

1.04

10

1.03

1.06

1.07

1.07

1.07

1.07

1.07

1.07

1.08

1.08

1.08

1.09

15

1.05

1.09

1.10

1.10

1.11

1.11

1.11

1.12

1.12

1.12

1.13

1.14

20

1.06

1.12

1.14

1.14

1.15

1.15

1.15

1.16

1.16

1.17

1.18

1.19

25

1.08

1.16

1.18

1.19

1.19

1.20

1.20

1.21

1.21

1.23

1.24

1.25

30

1.09

1.20

1.23

1.23

1.24

1.25

1.25

1.26

1.27

1.28

1.30

1.32

35

1.11

1.24

1.27

1.28

1.29

1.30

1.30

1.32

1.33

1.35

1.36

1.39

40

1.13

1.28

1.33

1.34

1.35

1.36

1.36

1.38

1.39

1.42

1.44

1.47

45

1.15

1.33

1.38

1.40

1.41

1.42

1.43

1.45

1.47

1.50

1.52

1.56

50

1.17

1.38

1.44

1.46

1.47

1.49

1.50

1.52

1.55

1.58

1.62

1.67

55

1.19

1.43

1.51

1.53

1.55

1.57

1.58

1.61

1.63

1.68

1.73

1.79

60

1.21

1.49

1.59

1.61

1.63

1.65

1.67

1.70

1.74

1.79

1.84

1.92

65

1.23

1.55

1.67

1.70

1.72

1.74

1.76

1.81

1.85

1.92

1.99

2.08

70

1.25

1.62

1.76

1.79

1.82

1.85

1.88

1.93

1.98

2.07

2.14

2.27

The information and data are accurate to the best of our knowledge and belief, but are intended for general information only. Applications suggested for the materials are described only to help readers make their own evaluations and are neither guarantees nor to be construed as express or implied warranties of suitability for these or other applications.

© Magotteaux 10.02