AP EAPCET 23-Aug-2021 Shift 1 Paper

Given,
Initial volume of container A,VA=V
Initial volume of container B,VB=V
Initial pressure in A(pA)= Initial pressure in B(pB)=p
Let their final volumes be VA′=VB′=

V

2

and their final pressure be pA′ and pB′.
As, container A is performing isothermal change
∴pAVA=

p′AVA

2

⇒p′A=2pA ...(i)
and container B is performing adiabatic change
∴pBVBγ=p′B(

VB

2

)γ
⇒p′B=pB2γ ...(ii)
From Eqs. (i) and (ii), we get

pB′

pA′

=

pB2γ

pA2

∴

pB′

pA′

=(2)γ−1