Refer to the given figure. Let \(\Delta U_1\) and \(\Delta U_2\) be the changes in internal energy of the system in processes \(A\) and \(B\). Then:
1. | \(\Delta U_1>\Delta U_2\) | 2. | \(\Delta U_1=\Delta U_2\) |
3. | \(\Delta U_1<\Delta U_2\) | 4. | \(\Delta U_1\neq\Delta U_2\) |
1. | adiabatic | 2. | isothermal |
3. | isochoric | 4. | isomeric |
Statement (A): | Heat is not a state function. |
Statement (B): | Heat supplied to a system is a path function. |
1. | Both statements (A) and (B) are True. |
2. | Both statements (A) and (B) are False. |
3. | Only statement (A) is True. |
4. | Only statement (B) is True. |
1. | The change in internal energy in the process \(BC\) is \(-500R.\) |
2. | The change in internal energy in the whole cyclic process is \(250R.\) |
3. | The change in internal energy in the process \(CA\) is \(700R.\) |
4. | The change in internal energy in the process \(AB\) is \(-350R.\) |
1. | \(\Delta Q=\Delta U+\Delta W\) |
2. | \(\Delta U=\Delta Q+\Delta W\) |
3. | \(\Delta U=\Delta Q-\Delta W\) |
4. | \(\Delta U+\Delta Q+\Delta W=0\) |
\(1\) mole of rigid diatomic gas performs a work of \(\dfrac{Q}{5}\) when heat \(Q\) is supplied to it. Change in internal energy of the gas is:
1. | \(\dfrac{4Q}{5}\) | 2. | \(\dfrac{3Q}{5}\) |
3. | \(\dfrac{Q}{5}\) | 4. | \(\dfrac{2Q}{5}\) |
The internal energy change in a system that has absorbed \(2\) kcal of heat and done \(500\) J of work is:
1. \(8900\) J
2. \(6400\) J
3. \(5400\) J
4. \(7900\) J
1. | work done by the system is \(120\) J. |
2. | work done on the system is \(120\) J. |
3. | work done by the system is \(80\) J. |
4. | work done on the system is \(80\) J. |
The internal energy of a gas is given by \(U=2pV.\) The gas expands from \(100\) cc to \(200\) cc against a constant pressure of \(10^{5}\) Pa. The heat absorbed by the gas is:
1. \(10\) J
2. \(20\) J
3. \(30\) J
4. \(40\) J