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. The heat that flown from right compartment to left compartment before thermal equilibrium is achieved is

• A. \[{{P}_{0}}{{V}_{0}}\]
• B. \[\frac{3}{4}{{P}_{0}}{{V}_{0}}\]
• C. \[\frac{3}{8}{{P}_{0}}{{V}_{0}}\]
• D. \[\frac{2}{3}{{P}_{0}}{{V}_{0}}\]