Cinética de La Flotación

 

AMHÍPMAN @B IN CILPNAMÑH >)Ciltnamñh `msalhhun l Dntaj Bh uhn abi`n ebaîhman, sb alilan in anh`n` `b emhbrni `b naubr`l ni tnenþl `b in abi`n, n alhhunamñh sb norbon uhn anh`n` sb sliuamñh alibatlrn ( noun eîs ils rbnavls `b cltnamñh alibatlrbs bspuenhtbs y el`man`lrbs ) n alhhunamñh sb nomtn `urnhtb uh ambrtl bepl (bepl `b nalh`mamlhnembhtl) nalh`mamlhnembhtl) , `bspuís `bspuís sb alepibtn bi hmvbi `b in sliuamñh jnstn uhn enran `btbremhn`n y sb ndrb bi pnsl `b bhtrn`n `b nmrb bh bi nomtn`lr, sb bepmbzn n obhbrnr in bspuen qub sb rbalob bh uhn dnh`bgn n `mshtls `ms htls bepls, jnstn qub sb ldsbrvn in bspuen `bsemhbrnimzn`n. Vlstbrmlrebhtb Vlstbrmlrebhtb sb nhnimzn in bspbamb emhbrni qub hls mhtbrbsn pnrn an`n eubstrn y sb ornan in rbaupbrnamñh bh uhamñh `bi bepl. Qb bhaubhtrn qub jny uhn rbinamñh `mrbatn bhtrb in vbilam`n` `b cltnamñh `n`n plr in pbh`mbhtb `b in aurvn y in anh`n` `b entbrmni cltndib qub qub`n bh in abi`n.

Vbh`mbhtb ND/(T  - T>) 5 Vbh`mbhtb A@/(T ∘

∘

T4) 5 K

∔¼

`TDntaj/`t 5 K (T  - T ) mhtbornh`l TDntaj 5 T ( > ‑ bxp (-Kt)) ∘

TDntaj 5 T  sm t ∘

∘

∘

 

 

Ils pnrîebtrls T   y K slh anrnatbråsans `bi emhbrni y `b ins alh`mamlhbs `b in cltnamñh, eb`mnhtb tíahmans `b rborbsmñh hl imhbni sb pub`bh `btbremhnr nedls smeuitîhbnebhtb. ∘

Bxmstbh `mvbrsns baunamlhbs `b in amhían DNPAJ ltrn euy usn`n el`brhnebhtb bs in `b Kimepbi TDntaj 5 T  ( > ‑ (>/Kt) (> ‑ bxp ( - Kt)) ∘

4) El`bil amhíal `b cltnamñh alhhun Ni jnabr uh uh dninhab `b ensns bh in abi`n rbsuitn7 ∘

 

Ta 5 ∫ TDntaj B ( t ) `t  6

Vrmebr ansl N.-Rhn abi`n `b cltnamñh pbrbatnebhtb ebzain`n.  TDntaj 5 T  ( > ‑ bxp ( - Kt)) B(t) 5 >/Αbxp (- t/Α)  Tbbepinznh`l sb ldbhb Ta 5 T  (KΑ/>+ KΑ ) ∘

∘

Qbouh`l ansl D.- Rhn abi`n alh cugl pmstñh ∘

Ta 5 ∫ T ∘  ( > ‑ bxp (-KΑ)) B(t) `t 6

 

> ∘

Ta 5 T  ( > ‑ bxp (-KΑ) ∫ B ( t ) `t  ∘

6

Vnrn cugl pmstñh t 5 Α bhtlhabs Ta 5 TDntaj 5 T∘ ¼- bxp(-Kt))

 

Pbrabr ansl Dnhal `b abi`ns pbrbatnebhtb ebzain`ns ebzain`ns   H   Ta 5 T∘ ¼ > ‑ ( H/H + KΑ) )   H  Alel  Al el (H/H + KΑ) KΑ) bs smbe smbeprb prb ˁ bxp (-Kt) (-Kt) in cltnamñh cltnamñh Dntaj prl`uab uhn enylr rbaupbrnamñh qub bi dnhal `b H abi`ns pbrbatnebhtb ebzain`ns, ebzain`ns, bxabptl sm bi dnhal bhb  abi`ns. ∘