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Q. No.A Carnot engine takes \(5000~\text{kcal}\) of heat from a reservoir at \(727^\circ \text{C}\) and gives heat to a sink at \(127^\circ \text{C}.\) The work done by the engine is:
1. \(3 \times 10^6 ~\text J\)
2. zero
3. \(12.6 \times 10^6 \)
4. \(8.4 \times 10^6 \)
1. \(3 \times 10^6 ~\text J\)
2. zero
3. \(12.6 \times 10^6 \)
4. \(8.4 \times 10^6 \)
Subtopic: Â Carnot Engine |
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A heat engine (Carnot engine) operates between a cold reservoir at temperature \(T_2=300\) K and a hot reservoir at temperature \(T_1.\) If it were to take \(100\) J of heat from the hot reservoir and deliver \(80\) J of heat to the cold reservoir in each cycle, the minimum temperature of the hot reservoir would be:
1. \(350\) K
2. \(375\) K
3. \(400\) K
4. \(450\) K
1. \(350\) K
2. \(375\) K
3. \(400\) K
4. \(450\) K
Subtopic: Â Carnot Engine |
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A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by \(62^\circ \text{C}\), the efficiency of the engine is doubled. The temperatures of the source and the sink are:
1. \(90^\circ \text{C}\), \(37^\circ \text{C}\)
2. \(99^\circ \text{C}\), \(37^\circ \text{C}\)
3. \(80^\circ \text{C}\), \(37^\circ \text{C}\)
4. \(95^\circ \text{C}\), \(37^\circ \text{C}\)
1. \(90^\circ \text{C}\), \(37^\circ \text{C}\)
2. \(99^\circ \text{C}\), \(37^\circ \text{C}\)
3. \(80^\circ \text{C}\), \(37^\circ \text{C}\)
4. \(95^\circ \text{C}\), \(37^\circ \text{C}\)
Subtopic: Â Carnot Engine |
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In a Carnot engine, the temperature of the reservoir is \(527^\circ \text{C}\) and that of the sink is \(200\) K. If the work done by the engine when it transfers heat from the reservoir to sink is \(12000\) kJ, the quantity of heat absorbed by the engine from the reservoir is:
1. \(12\times10^6\) J
2. \(14\times10^6\) J
3. \(16\times10^6\) J
4. \(18\times10^6\) J
1. \(12\times10^6\) J
2. \(14\times10^6\) J
3. \(16\times10^6\) J
4. \(18\times10^6\) J
Subtopic: Â Carnot Engine |
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The efficiency of a Carnot's engine, working between the steam point and ice point, will be:
| 1. | \(26.81\text{%}\) | 2. | \(37.81\text{%}\) |
| 3. | \(47.81\text{%}\) | 4. | \(57.81\text{%}\) |
Subtopic: Â Carnot Engine |
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\(300\) calories of heat is given to a heat engine and it rejects \(225\) calories of heat. If source temperature is \(227^\circ \text{C}\), then the temperature of sink will be:
1. \(102^\circ \text{C}\)
2. \(90^\circ \text{C}\)
3. \(110^\circ \text{C}\)
4. \(120^\circ \text{C}\)
1. \(102^\circ \text{C}\)
2. \(90^\circ \text{C}\)
3. \(110^\circ \text{C}\)
4. \(120^\circ \text{C}\)
Subtopic: Â Carnot Engine |
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