+1 and +2 PCM Formula Sheet

39'-

IIT-JEE ~

(viii) C p - C v = R

(ix) (x)

C

R

= y; C v = - - ; C p Cv Y- 1

_P

yR

--

y - 1

In an isothermal change, there is no change in temperature, PjV j

= P2 V2 , ~U = 0

(xi) In an adiabatic change, the quantity of heat supplied or taken out is zero,

P 1 V Y1 = P2 V Y2' ~Q = 0

T VY- 1 = T VY - 1 1

1

2

p1

2

P2 p Y- 1

py-1 1

2

(xii) Work done in adiabatic change,

W

_P1V-PV j 2 2

_

Y -1 (xiii)

nR(T 1

-

T2 )

y -1

Work done in isothermal change,

W

~ 2.303 n RT log" (::)

~ 2.303 P,V, log" (::) (xiv)

If PV n = constant, it is called polytropic process (where n

C

:f:-

y, Y= -p)

Cv

In this process,

molar heat capacity,

)

C=(~)_(_R y-1 n-1' (x v)

Work done in a closed cycle is the area enclosed by PV graph,

(xvi)

Slope 01 PV diagram

For isothermal process: ( dP)

dV isoth. For adiabatic process: ( dP )

dV adia. • Brilliant Tutorials Pvt. Ltd,

P V

yP V

YG/Comp-Phy - 39