| 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 pressure in left compartment after thermal equilibrium is achieved is |
A) \[{{P}_{0}}\]
B) \[\frac{3}{2}{{P}_{0}}\]
C) \[\frac{4}{3}{{P}_{0}}\]
D) None of these
Correct Answer: B
Solution :
| [b] \[{{n}_{1}}{{C}_{v}}\left( T-{{T}_{0}} \right)+{{n}_{2}}{{C}_{v}}\left( T-2{{T}_{0}} \right)=0\] |
| \[T=\frac{3}{2}{{T}_{0}}\] |
| \[{{P}_{f}}=\frac{{{P}_{i}}{{T}_{f}}}{{{T}_{i}}}=\frac{3}{2}{{p}_{0}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
