If for hydrogen ${C_p} - {C_v} =$ $m$ and for the nitrogen ${C_p} - {C_v} =$ $n$, where ${C_p},{C_v}$ refer to specific heats per unit mass respectively at constant pressure and constant volume, the relation between $m$ and $n$ is

An ideal gas is compressed to one-third its initial volume. Which of the following processes results in the maximum work done on the gas?

Suppose ideal gas equation follows $V{P^3} =$ constant. Initial temperature and volume of the gas are $T$ and $V$ respectively. If gas expands to $27\;V$ then its temperature will become

2 g of water condenses when passed through 40 g of water initially at ${25^{\rm{o}}}{\rm{C}}$. The condensation of steam raises the temperature of water to ${54.3^{\rm{o}}}{\rm{C}}$. What is the latent heat of steam?

A gas undergoes a cyclic process. Which of the following quantities MUST be zero for the entire cycle?

${C_v}and{C_p}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

An ideal gas undergoes a process where its pressure and volume are related by $P = P_0 + \alpha V$, where $P_0$ and $\alpha$ are positive constants. If the gas expands from volume $V_1$ to $V_2$, the work done by the gas is:

Ten moles of an ideal gas at constant temperature 600 K is compressed from 100 L to 10 L. The work done in the process is

Calculate change in internal energy when 5 mole of hydrogen is heated to ${20^ \circ }C$from ${10^ \circ }C$, specific heat of hydrogen at constant pressure is 8 cal ${\left( {{\rm{mol^\circ C}}} \right)^{ - 1}}$

A monoatomic ideal gas at 300 K is compressed isothermally to half its initial volume. The same gas, starting at the same initial conditions, is compressed adiabatically to half its initial volume. What is the final temperature of the gas in the adiabatic process?

An ideal gas is heated at constant pressure and absorbs amount of heat $Q$. If the adiabatic exponent is${\rm{\gamma }}$, then the fraction of heat absorbed in raising the internal energy and performing the work, in