The molecules of a given mass of a gas have r.m.s. velocity of 200 ms^-1 at 27^° C and 1.0 × 10^5 Nm^-2 pressure. When the temperature and pressure…

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