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Q. No.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
The volume \((V)\) of a monatomic gas varies with its temperature \((T),\) as shown in the graph. The ratio of work done by the gas to the heat absorbed by it when it undergoes a change from state \(A\) to state \(B\) will be:
| 1. | \(\dfrac{2}{5}\) | 2. | \(\dfrac{2}{3}\) |
| 3. | \(\dfrac{1}{3}\) | 4. | \(\dfrac{2}{7}\) |
The efficiency of an ideal heat engine (Carnot heat engine) working between the freezing point and boiling point of water is:
1. \(26.8\%\)
2. \(20\%\)
3. \(6.25\%\)
4. \(12.5\%\)
Match the following:
| Column I | Column II | ||
| \(P\). | Process-I | \(\mathrm{a}\). | Adiabatic |
| \(Q\). | Process-II | \(\mathrm{b}\). | Isobaric |
| \(R\). | Process-III | \(\mathrm{c}\). | Isochoric |
| \(S\). | Process-IV | \(\mathrm{d}\). | Isothermal |
| 1. | \(P \rightarrow \mathrm{a}, Q \rightarrow \mathrm{c}, R \rightarrow \mathrm{d}, S \rightarrow \mathrm{b}\) |
| 2. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{a}, R \rightarrow \mathrm{d}, S \rightarrow b\) |
| 3. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\) |
| 4. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\) |
Thermodynamic processes are indicated in the following diagram:
Match the following:
| Column-I | Column-II | ||
| (P) | Process I | (a) | Adiabatic |
| (Q) | Process II | (b) | Isobaric |
| (R) | Process III | (c) | Isochoric |
| (S) | Process IV | (d) | Isothermal |
| 1. | P → c, Q → a, R → d, S→ b |
| 2. | P→ c, Q → d, R → b, S → a |
| 3. | P → d, Q → b, R → b, S → c |
| 4. | P → a, Q → c, R → d, S → b |
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then:
| 1. | compressing the gas through an adiabatic process will require more work to be done. |
| 2. | compressing the gas isothermally or adiabatically will require the same amount of work to be done. |
| 3. | which of the case (whether compression through isothermal or through the adiabatic process) requires more work to be done will depend upon the atomicity of the gas. |
| 4. | compressing the gas isothermally will require more work to be done. |
One mole of an ideal monatomic gas undergoes a process described by the equation \(PV^3=\text{constant}.\) The heat capacity of the gas during this process is:
1. \(\frac{3}{2}R\)
2. \(\frac{5}{2}R\)
3. \(2R\)
4. \(R\)
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then,
| 1. | compressing the gas through an adiabatic process will require more work to be done. |
| 2. | compressing the gas isothermally or adiabatically will require the same amount of work. |
| 3. | which of the case (whether compression through isothermal or through the adiabatic process) requires more work will depend upon the atomicity of the gas. |
| 4. | compressing the gas isothermally will require more work to be done. |
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Q. No.
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