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Q. No.A Carnot’s engine works between \(400 ~\text K\) and \(800 ~\text K\) has a work output of \(1200~\text J\) per cycle. The amount of heat energy supplied to the engine from the source in each cycle is:
1. \(3200~\text J\)
2. \(2400~\text J\)
3. \(1800~\text J\)
4. \(1200~\text J\)
1. \(3200~\text J\)
2. \(2400~\text J\)
3. \(1800~\text J\)
4. \(1200~\text J\)
Subtopic: 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: 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: Carnot Engine |
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For a heat engine based on the Carnot cycle source is at a temperature \(600~\mathrm{K}\). Now if source temperature is doubled then efficiency also gets doubled while keeping the sink temperature same at \(x ~\mathrm{K}\). The value of \(x \) is equal to:
1. \(400\)
2. \(600\)
3. \(200\)
4. \(300\)
1. \(400\)
2. \(600\)
3. \(200\)
4. \(300\)
Subtopic: 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: Carnot Engine |
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The efficiency of a Carnot cycle working between \(400~\text K\) and \(300~\text K\) is:
1. \(\dfrac34\)
2. \(\dfrac14\)
3. \(\dfrac13\)
4. \(\dfrac23\)
1. \(\dfrac34\)
2. \(\dfrac14\)
3. \(\dfrac13\)
4. \(\dfrac23\)
Subtopic: Carnot Engine |
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The efficiency of a Carnot engine operating between two reservoirs is \(25\%.\) The ratio of the absolute temperature of the hot reservoir to that of the cold reservoir is:
| 1. | \(4\) | 2. | \(2\) |
| 3. | \(\dfrac32\) | 4. | \(\dfrac43\) |
Subtopic: Carnot Engine |
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A Carnot engine operates between two reservoirs of temperature \(900~\text K\) and \(300~\text K.\) The engine performs \(1200~\text J\) of work per cycle. The heat energy (in \(\text J\)) delivered by the engine to the low-temperature reservoir, in a cycle is:
1. \(800~\text J\)
2. \(600~\text J\)
3. \(500~\text J\)
4. \(700~\text J\)
1. \(800~\text J\)
2. \(600~\text J\)
3. \(500~\text J\)
4. \(700~\text J\)
Subtopic: Carnot Engine |
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If Carnot engines work between the freezing point and boiling point of water, then the efficiency of a Carnot engine is:
1. \(35\)%
2. \(27\)%
3. \(22\)%
4. \(17\)%
1. \(35\)%
2. \(27\)%
3. \(22\)%
4. \(17\)%
Subtopic: Carnot Engine |
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