When an ideal diatomic gas is heated at constant pressure, the fraction of the heat utilised to increase the internal energy of the gas is

If the degrees of freedom of a gas molecule is 6 , then the total internal energy of the gas molecule at a temperature of $47^{\circ} \mathrm{C}$ (in eV ) is

(Boltzmann constant $=1.38 \times 10^{-23} \mathrm{JK}^{-1}$ )

If the values of the temperature of a body in Fahrenheit and Celsius scales are in the ratio of $13: 5$, then the temperature of the body is

A Carnot heat engine absorbs 600 J of heat from a source at a temperature of $127^{\circ} \mathrm{C}$ and rejects 400 J of heat to a sink in each cycle. The temperature of the sink is