Two Carnot engines x and y are working between the same source temperature \(T_1\) and the same sink temperature \(T_2\). If the temperature of the source in Carnot engine x is increased by \(\Delta T\), and in the Carnot engine y, the temperature of the sink is increased by\(\Delta T\), then the efficiency of x and y becomes \(\eta_\mathrm x\) and\(\eta_\mathrm y\). Then:
1. | \(\eta_{\mathrm{x}}=\eta_{\mathrm{y}}\) |
2. | \(\eta_{\mathrm{x}}<\eta_{\mathrm{y}}\) |
3. | \(\eta_{\mathrm{x}}>\eta_{\mathrm{y}}\) |
4. | The relation between \(\eta_{\mathrm{x}}\) and \(\eta_{\mathrm{y}}\) depends on the nature of the working substance |
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In the P-V graph shown for an ideal diatomic gas, the change in the internal energy is:
1. | \(\frac{3}{2}P(V_2-V_1)\) | 2. | \(\frac{5}{2}P(V_2-V_1)\) |
3. | \(\frac{3}{2}P(V_1-V_2)\) | 4. | \(\frac{7}{2}P(V_1-V_2)\) |
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The first law of thermodynamics is based on:
1. | the concept of temperature. |
2. | the concept of conservation of energy. |
3. | the concept of working of heat engine. |
4. | the concept of entropy. |
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The efficiency of an ideal heat engine is less than 100% because of:
1. | the presence of friction. |
2. | the leakage of heat energy. |
3. | unavailability of the sink at zero kelvin. |
4. | All of these |
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A heat engine operates between the temperatures of 300 K and 500 K. If it extracts 1200 J of heat energy from the source, then the maximum amount of work that can be done by the engine is:
1. 720 J
2. 520 J
3. 480 J
4. 200 J
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If 3 moles of a monoatomic gas do 150 J of work when it expands isobarically, then a change in its internal energy will be:
1. | 100 J | 2. | 225 J |
3. | 400 J | 4. | 450 J |
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In the case of free expansion, when a sample of gas expands suddenly, the change in internal energy of the gas will be:
1. Positive
2. Negative
3. Zero
4. May be positive or negative
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The work done for the given process AB is:
1. 6
2. 5
3. 3
4. 2
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The efficiency of a Carnot heat engine working between the temperatures \(27^{\circ}\mathrm{C}\) and \(227^{\circ}\mathrm{C}\) is:
1. 0.1
2. 0.6
3. 0.2
4. 0.4
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Work done during the given cycle is:
1. 4
2. 2
3.
4.
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