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For which combination of temperatures, the efficiency of Carnot's engine is highest?

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Important Questions on The First Law of Thermodynamics

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Two carnot engines A and B are operated in succession. The first one, A receives heat from a source at T1=800 K and rejects to the sinks at T2 K. The second engine B receives heat rejected by the first engine and then rejects to another sink at T3=300 K. If the work outputs of the two engines are equal, then the value of T2 is
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A carnot's engine whose low temperature reservoir is at 7 °C has an efficiency of 50%. It is desired to increase the efficiency to 70%. By how many degrees should the temperature of the high temperature reservoir be increased?
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Six moles of an ideal gas performs a cycle shown in the figure. If the temperatures are TA=600 K, TB=800 K, TC=2200 K and TD=1200 K, then work done per cycle is approximately___ (Take R=8.3 J mol-1 K-1)

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A Carnot's engine is made to work between 200 °C and 0 °C first and then between 0° and -200 °C. The ratio of efficiencies η2η1 of the engine in the two cases is
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The process ΔU=0, for an ideal gas can be best represented in the form of a graph
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When an air bubble rises from the bottom to the surface of a lake, its radius becomes double. Find the depth of the lake. Given that the atmospheric pressure is equal to the pressure due to a column of water 10 m high. Assume constant temperature and disregard surface tension
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Two identical containers joined by a small pipe initially contain the same gas at pressure p0 and absolute temperature T0. One container is now maintained at the same temperature while the other is heated to 2T0. The common pressure of the gases will be
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An ideal monoatomic gas is compressed (no heat being added or removed in the process) so that its volume is halved. The ratio of the new pressure to the original pressure is