An ideal gas is made to undergo a cycle depicted by the \((P-V)\) diagram alongside. If the curved line from \(A\) to \(B\) is adiabatic, then:
1. | the efficiency of this cycle is given by unity as no heat is released during the cycle. |
2. | heat is absorbed in the upper part of the straight-line path and released in the lower. |
3. | if \(T_1\) and \(T_2\) are the maximum and minimum temperatures reached during the cycle, then the efficiency is given by, \(1-\frac{T_2}{T_1}.\) |
4. | the cycle can only be carried out in the reverse direction as shown in the figure. |
The Carnot cycle (reversible) of gas is represented by a pressure-volume curve as shown. Consider the following statements:
I. | Area \(ABCD\) = Work done on the gas |
II. | Area \(ABCD\) = Net heat absorbed |
III. | Change in the internal energy in cycle = \(0\) |
Which of the statement(s) given above is/are correct?
1. | I only | 2. | II only |
3. | II and III | 4. | I, II, and III |
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. | The magnitude of the work done by the gas is \(RT_{0}\ln 2\). |
2. | Work done by the gas is \(V_{0}T_{0}.\) |
3. | Net work done by the gas is zero. |
4. | Work done by the gas is \(2RT_{0}\ln2\). |