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The compressor of a Carnot refrigerator consumes 5 J of energy per cycle. The hot reservoir is at temperature 27°C and the amount of energy released to it per cycle is 25 J. Then the lowest possible temperature attained by the cold reservoir will be close to

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Important Questions on Heat and Thermodynamics

EASY
A Carnot heat engine having an efficiency of 110 is used as a refrigerator between the same two temperatures. If the work done on the system is 10 J, the amount of heat absorbed from the reservoir at low temperature is
MEDIUM
A reservoir is at 827 °C and Carnot's engine takes a thousand kilocalorie of heat from it and exhausts it to a sink at 27 °C. What is the amount of work and the efficiency of the engine?
EASY
Two carnot engines A and B are connected in series in such a way that the work outputs are equal when the temperatures of hot and cold reservoirs of A are 800 K and T, and of engine B are T and 300 K, respectively. Then the temperature T is
EASY
Two carnot engines A and B are operated in series. The first one, A, receives heat at T1=600K and rejects to a reservoir at temperature T2. The second engine B receives heat rejected by the first engine and, in turn, rejects to a heat reservoir at T3=400K. Calculate the temperature T2 if the work outputs of the two engines are equal:
EASY
A Carnot engine having an efficiency of 110 is being used as a refrigerator. If the work done on the refrigerator is 10 J, the amount of heat absorbed from the reservoir at a lower temperature is
MEDIUM
Heat is flowing from a refrigerator whose inside temperature is 280 K, to a room at 300 K. Then the amount of heat delivered to the room for each joule of electrical energy consumed in joules is
EASY
An air conditioner AC removes heat at a rate of 1.2 kJ sec-1 from a room. A power of 400 W is required to run the AC. The coefficient of performance (α) of the AC is 10% of that of the refrigerator operating between outside and room temperature. If outside temperature is 37 °C, what will be room temperature?
HARD

The efficiency of the cycle shown below in the figure (consisting of one isobar, one adiabat and one isotherm) is 50%. The ratio, x, between the highest and lowest temperatures attained in this cycle obeys (the working substance is a ideal gas):-

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HARD
Two ideal Carnot engines operate in a cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, T1 and T2 . The temperature of the hot reservoir of the first engine is T1 and the temperature of the cold reservoir of the second engine is T2. T is the temperature of the sink of the first engine which is also the source for the second engine. How is T related to T1 and T2, if both the engines perform an equal amount of work?
MEDIUM
A heat engine is involved with exchange of heat of 1915 J, 40 J, +125 J and Q J, during one cycle achieving and efficiency of 50.0%. The value of Q is:  
MEDIUM
Freezing compartment of a refrigerator is at 0°C and room temperature is 27.3°C. Work done by the refrigerator to freeze 1 g of water at 0°C is Lice=80 cal g-1
EASY
A Carnot's engine having an efficiency of 110 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is
MEDIUM
Consider an engine that absorbs 130 cal of heat from a hot reservoir and delivers 30 cal heat to a cold reservoir in each cycle. The engine also consumes 2 J energy in each cycle to overcome friction. If the engine works at 90 cycles per minute, what will be the maximum power delivered to the load? [Assume the thermal equivalent of heat is 4.2 J/cal]
EASY
A Carnot engine, having an efficiency of η=110 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at a lower temperature is:
EASY
A carnot engine working between 27°C and 127°C, draws 600 J of heat from the reservoir in one cycle. The work done by the engine
EASY

For a Carnot engine which of the following is false?

EASY
A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy supplied to the engine from the source in each cycle is:
MEDIUM
A Carnot engine has an efficiency of 16. When the temperature of the sink is reduced by 62  , its efficiency is doubled. The temperatures of the source and the sink are, respectively,
MEDIUM
Three Carnot engines operate in series between a heat source at a temperature T1 and a heat sink at temperature T4 (see figure). There are two other reservoirs at temperature T2 and T3, as shown, with T1>T2>T3>T4. The three engines are equally efficient if:

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