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. \(8.4 \times 10^6 \) 
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
Subtopic:  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. \(95^\circ \text{C}\)\(37^\circ \text{C}\)
Subtopic:  Carnot Engine |
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