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qUESTIONS

5.6 litre of helium gas at STP is adiabatically compressed to 0.7 litre. Taking the initial temperature to be T₁, the work done in the process is

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

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

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 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]

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]

In a given process for an ideal gas, dW = 0 and dQ<0 Then for the gas

A perfect gas goes from state A to another state B by absorbing 8×10^5 J of heat and doing 6.5×10^5 J of external work. It is now transferred between the same two states in another process in which it absorbs 10^5 J of heat. Then in the second process

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi = 10^5 Pa and volume Vi = 10^-3 m3 changes to a final state at Pf = (1/32) × 10^5 Pa and Vf = 8 × 10^-3 m3 in an adiabatic quasi-static process, such that P3 V5 = constant. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps: an isobaric expansion at Pi followed by an isochoric (isovolumetric) process at volume Vf. The amount of heat supplied to the system in the two-step process is approximately

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