Kinetic Theory Of Gases Question 153
Question: DIRECTION: Read the passage given below and answer the questions that follows:
A diathermic piston divides adiabatic cylinder volume $ V _{0} $ into two equal parts as shown in the figure. Both parts contains ideal monoatomic gases. The initial pressure and temperature of gas in left compartment are $ P _{0} $ and v while that in right compartment are $ 2P _{0} $ and $ 2T _{0} $ . Initially the piston is kept fixed and the system is allowed acquire a state of thermal equilibrium. The pressure in left compartment after thermal equilibrium is achieved is
Options:
A) $ P _{0} $
B) $ \frac{3}{2}P _{0} $
C) $ \frac{4}{3}P _{0} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ n _{1}C _{v}( T-T _{0} )+n _{2}C _{v}( T-2T _{0} )=0 $ $ T=\frac{3}{2}T _{0} $ $ P _{f}=\frac{P _{i}T _{f}}{T _{i}}=\frac{3}{2}p _{0} $
BETA
