KTG Questions

In a $(V-T)$ diagram for an ideal gas, two isobaric lines $P_1$ and $P_2$ are shown. If the slope of $P_2$ is less than the slope of $P_1$, what is the relation between the pressures?

The amount of heat energy required to raise the temperature of $1\text{g}$ of Helium at NTP from $T_1\text{K}$ to $T_2\text{K}$ is:

The mean free path of molecules of a gas, (radius ‘r’) is inversely proportional to:

The molecules of a given mass of a gas have r.m.s velocity of $200{\text{ms}}^{-1}$ at $27^{\circ }\text{C}$ and $1.0\times 10^5{\text{Nm}}^{-2}$ pressure. When the temperature and pressure of the gas are respectively $127^{\circ }\text{C}$ and $0.05\times 10^5{\text{Nm}}^{-2}$, the r.m.s. velocity of its molecules in ${\text{ms}}^{-1}$ is:

A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas?