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 \[2{{P}_{0}}\] and \[2{{T}_{0}}\]. Initially the piston is kept fixed and the system is allowed acquire a state of thermal equilibrium. If the pin which was keeping the piston fixed is removed and the piston is allowed to slide slowly such that a state of mechanical equilibrium is achieved. The volume of left compartment when piston is in equilibrium is

DIRECTION: Read the passage given below and answer the questions that

1.	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 \[2{{P}_{0}}\] and \[2{{T}_{0}}\]. Initially the piston is kept fixed and the system is allowed acquire a state of thermal equilibrium. If the pin which was keeping the piston fixed is removed and the piston is allowed to slide slowly such that a state of mechanical equilibrium is achieved. The volume of left compartment when piston is in equilibrium is
A.	\[\frac{3}{4}{{V}_{0}}\]
B.	\[\frac{{{V}_{0}}}{4}\]
C.	\[\frac{{{V}_{0}}}{2}\]
D.	\[\frac{2}{3}{{V}_{0}}\]
Answer» D. \[\frac{2}{3}{{V}_{0}}\]