Question

A gas in container A is in thermal equilibrium with another gas in container B. both contain equal masses of the two gases in the respective containers. Which of the following can be true

(a) P_A V_A = P_B V_B

(b) P_A = P_B, V_A ≠ V_B

(c) P_A ≠ P_B,V_A = V_B

(d) P_A/V_A = P_B/P_B

Answer 1

Correct Option (b) P_A = P_B, V_A ≠ V_B ,(c) P_A ≠ P_B,V_A = V_B

Explanation: 

According to problem mass of gases are equal so number of moles will not be equal i.e.  μ_A  ≠ μ_B

               

[As temperature of the container are equal]

 

 

Answer 2

The gases are in thermal equilibrium . If the equal mass means equal number of moles then we can accept option (a).

By ideal gas eqution we have

PV=nRT

When n and T are constant PV=constant

Otherwise we should accept option (b) or (c)  .