Q. No.When a bicycle tyre suddenly bursts, the air inside the tyre expands. This process is:
| 1. | isothermal | 2. | adiabatic |
| 3. | isobaric | 4. | isochoric |
An ideal gas goes from \(A\) to \(B\) via two processes, \(\mathrm{I}\) and \(\mathrm{II},\) as shown. If \(\Delta U_1\) and \(\Delta U_2\) are the changes in internal energies in processes \(\mathrm{I}\) and \(\mathrm{II},\) respectively, (\(P:\) pressure, \(V:\) volume) then:
| 1. | \(∆U_1 > ∆U_2\) | 2. | \(∆U_1 < ∆U_2\) |
| 3. | \(∆U_1 = ∆U_2\) | 4. | \(∆U_1 \leq ∆U_2\) |
In a given process, dW = 0, dQ < 0, then for the gas:
1. Temperature increases
2. Volume decreases
3. Pressure decreases
4. Pressure increases
An ideal gas goes from state \(A\) to state \(B\) via three different processes, as indicated in the \(P\text-V\) diagram. If \(Q_1,Q_2,Q_3\) indicates the heat absorbed by the gas along the three processes and \(\Delta U_1, \Delta U_2, \Delta U_3\) indicates the change in internal energy along the three processes respectively, then:
| 1. | \({Q}_1>{Q}_2>{Q}_3 \) and \(\Delta {U}_1=\Delta {U}_2=\Delta {U}_3\) |
| 2. | \({Q}_3>{Q}_2>{Q}_1\) and \(\Delta {U}_1=\Delta {U}_2=\Delta {U}_3\) |
| 3. | \({Q}_1={Q}_2={Q}_3\) and \(\Delta {U}_1>\Delta {U}_2>\Delta {U}_3\) |
| 4. | \({Q}_3>{Q}_2>{Q}_1\) and \(\Delta {U}_1>\Delta {U}_2>\Delta {U}_3\) |
A monoatomic gas is supplied with the heat \(Q\) very slowly, keeping the pressure constant. The work done by the gas will be:
1. \({2 \over 3}Q\)
2. \({3 \over 5}Q\)
3. \({2 \over 5}Q\)
4. \({1 \over 5}Q\)
A sample of \(0.1\) g of water at \(100^{\circ}\mathrm{C}\) and normal pressure (\(1.013 \times10^5\) N m–2) requires \(54\) cal of heat energy to convert it into steam at \(100^{\circ}\mathrm{C}\). If the volume of the steam produced is \(167.1\) cc, then the change in internal energy of the sample will be:
1. \(104.3\) J
2. \(208.7\) J
3. \(42.2\) J
4. \(84.5\) J
If in the thermodynamic process shown in the figure, the work done by the system along A B C is 50 J and the change in internal energy during C A is 30 J, then the heat supplied during A B C is:
| 1. | 50 J | 2. | 20 J |
| 3. | 10 J | 4. | 80 J |
An ideal gas is taken through the cycle \(A\rightarrow B\rightarrow C\rightarrow A\) as shown in the figure below. If the net heat supplied to the gas is \(10~\text{J}\), then the work done by the gas in the process \(B\rightarrow C\) is:
| 1. | \(-10~\text{J}\) | 2. | \(-30~\text{J}\) |
| 3. | \(-15~\text{J}\) | 4. | \(-20~\text{J}\) |
An ideal gas undergoes a cyclic process ABCA as shown. The heat exchange between the system and the surrounding during the process will be:
| 1. | 10 J | 2. | 5 J |
| 3. | 15 J | 4. | 20 J |
| 1. | \(Q_1=Q_2\) |
| 2. | \(W_1=W_2\) |
| 3. | \(Q_1-W_1=Q_2-W_2\) |
| 4. | \(Q_1+W_1=Q_2+W_2\) |
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