• # question_answer 4) The root mean square speed of gas molecules at 25K & $1.5\times {{10}^{5}}N{{m}^{-2}}$ is $100.5\,m{{s}^{-1}}$. If the temperature is raised to 100 K & pressure to $6.0\times {{10}^{5}}N{{m}^{-2}},$ the root mean square speed becomes. A)  $100.5\,m{{s}^{-1}}$           B)  $201.0\,m{{s}^{-1}}$C)                             $402\,m{{s}^{-1}}$             D)  $1608\,m{{s}^{-1}}$

In such a case there is no change in velocity$u=\sqrt{(3RT/M)}=\sqrt{(3PV/M)}$ The increase in temperature = 4 times & also the increase in pressure = 4 times. Both of these reinforce each other