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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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Important Questions on Thermodynamics

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2 kg of a monatomic gas is at a pressure of 4×104 N m-2. The density of the gas is 8 kg m-3. What is the order of energy of the gas due to its thermal motion?
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Half mole of an ideal monoatomic gas is heated at a constant pressure of 1atm from 20° C to 90° C. Work done by the gas is(Gas constant,R=8.21 J mol-1 K-1)
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A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVx= constant, then x is:
 
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A refrigerator works between 4 °C and 30 °C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is [take 1 cal=4.2 Joule].
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An ideal gas undergoes a quasi-static reversible process in which its molar heat capacity C remains constant. If during this process, the relation of pressure p and volume V is given by pVn=constant, then n is given by (here Cp and CV are molar specific heat at constant pressure and constant volume, respectively.)