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qUESTIONS

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K , where K is a constant. In this process the temperature of the gas is increased by ΔT. The amount of heat absorbed by gas is (R is gas constant)

A cylinder with fixed capacity of 67.2 litre contains helium gas at STP: The amount of heat needed to raise the temperature of the gas by 20°C is [Given that R = 8.31 J mol^-¹K^-1]

A Carnot engine has an efficiency of 1/6. When the temperature of the sink is reduced by 62°C, its efficiency is doubled. The temperatures of the source and the sink are respectively

A litre of dry air at STP expands adiabatically to a volume of 3 litres. If γ= 1.40, the work done by air is: (3^1.4 = 4.6555) (Take air to be an ideal gas]

Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecules changes from τ₁ to τ₂. If Cp/ Cv= γ for this gas, then a good estimate for τ₁/τ₂ is given by

A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is:

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure? where, 1→2 is adiabatic. (Graphs are schematic and are not to scale)

A carnot engine, whose efficiency is 40%, takes in heat from a source maintained at a temperature of 500 K. It is desired to have an engine of efficiency 60%. Then, the intake temperature for the same exhaust (sink) temperature must be

A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat flow into the system in path ADB is

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

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