| 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. |
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| 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) \[\frac{2}{3}{{P}_{0}}{{V}_{0}}\]
Correct Answer: C
Solution :
| [c] \[\Delta Q={{n}_{1}}{{C}_{v}}\left( {{T}_{f}}-{{T}_{0}} \right)\] |
| \[=\frac{{{P}_{0}}{{V}_{0}}}{2R{{T}_{0}}}\times \frac{3}{2}R\times \left( \frac{3}{2}{{T}_{0}}-{{T}_{0}} \right)=\frac{3}{8}{{P}_{0}}{{V}_{0}}\] |
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