Kinetic Theory Of Gases Question 154
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 heat that flown from right compartment to left compartment before thermal equilibrium is achieved is
Options:
A) $ P _{0}V _{0} $
B) $ \frac{3}{4}P _{0}V _{0} $
C) $ \frac{3}{8}P _{0}V _{0} $
D) $ \frac{2}{3}P _{0}V _{0} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ \Delta Q=n _{1}C _{v}( T _{f}-T _{0} ) $ $ =\frac{P _{0}V _{0}}{2RT _{0}}\times \frac{3}{2}R\times ( \frac{3}{2}T _{0}-T _{0} )=\frac{3}{8}P _{0}V _{0} $
BETA
