Question
For a gas, the $r.m.s.$ speed at $800\, K$ is

Answer

${v_{rms}} \propto \sqrt T $

$\Rightarrow \,\,\frac{{{v_1}}}{{{v_2}}} = \sqrt {\frac{{{T_1}}}{{{T_2}}}}  = \sqrt {\frac{{200}}{{800}}}  = \frac{1}{2}$

$\Rightarrow$ ${v_2} = 2{v_1}$

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