Question

A partition divides a container having insulated walls into two components I and II The same gas filled in both components whose initial parameters are given The partition is conducting wall which can freely move without friction Choose the correct statements (is/are) with respect to the final equilibrium position :

• A. The pressure in two compartments are equal
• B. Volume of compartment I is 3V/5
• C. Volume of compartment II is 12V/5
• D. Final pressure in compartment I is 5P/3

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A Volume of compartment I is 3V/5
B The pressure in two compartments are equal
C Final pressure in compartment I is 5P/3
D Volume of compartment II is 12V/5

At equilibrium final pressure and final temperature in both compartment are equal
$\frac{PV}{RT}=\frac{P^{\prime }{V}^{\prime }}{RT}..........\left(i\right)$
$\frac{\left(2P\right)\left(2V\right)}{RT}=\frac{P^{\prime }{V}^{\prime \prime }}{RT}..........\left(ii\right)$
$V^{\prime \prime }=4V^{\prime }..............\left(iii\right)$
$V^{\prime }+V^{\prime \prime }=3V$
On solving we get the result.