An Ideal Mono-atomic Gas Is Taken Around The Cycle ABCDA as Shown In The P-V diagram. The Work Done During The Cycle Is Given By                                                                          

One mole of an ideal gas  at absolute temperature T₁ is adiabatically compressed from an initial pressure P₁ to a final pressure P₂. The resulting temperatureT₂ of the gas is given by

A certain mass of an ideal gas at pressure P₁ is adiabatically expanded from an initial volume V₁ to a final volume V₂. The resulting pressure P₂ of the gas is given by

A Carnot’s engine working between 27^oC and 127^oC takes up 800 J of heat from the reservoir in one cycle. What is the work done by the engine?

A Carnot’s engine whose sink is at a temperature of 300 K has an efficiency of 40%. By how much should the temperature of the source be increased so as to increase the efficiency to 60%?

The surface of the earth receives solar radiation at the rate of 1400 Wm ^{– 2}. The distance of the centre of the sun from the surface of the earth is  m and the radius of the sun is  m. Treating the sun as a back body, it follows from the above data that the surface temperature of the sun is about

What is the SI unit of the Boltzmann’s constant?

Two slabs A and B of different materials but of the same thickness are joined as shown in Fig. 8.8. The thermal conductivities of A and B are k₁and k₂ respectively. The thermal conductivity of the composite slab will be

A composite slap consists of two slabs A and B of different materials but of the same thickness placed one on top of the other. The thermal conductivities of A and B are k₁ and k₂ respectively. A steady temperature difference of 12^oC is maintained across the composite slab. If k₁ = k₂/2, the temperature difference across slab A will be

Two cylindrical rods of lengths l₁ and l₂, radii r₁ and r₂ have thermal conductivities k₁ and k₂ respectively. The ends of the rods are maintained at the same temperature difference. If l₁ = 2l₂ and r₁ = r₂/2, the rates of heat flow in them will be the same if k₁/k₂ is

If the temperature of a gas is increased from 27^oC to 927^oC, the root mean square speed of its molecules