Given below are two statements: Statement I : The temperature of a...

Given:

${T}_{1} = - 73 ° C = \left(- 73 + 273\right)K = 200K$

and ${T}_{2} = 527 ° C = \left(527 + 273\right)K = 800K$

Therefore,

$\dfrac{{V}_{rms, 1}}{{V}_{rms, 2}} = \dfrac{\sqrt{\dfrac{3R{T}_{1}}{M}}}{\sqrt{\dfrac{3R{T}_{2}}{M}}} = \sqrt{\dfrac{{T}_{1}}{{T}_{2}}}$

$= \sqrt{\dfrac{200}{800}} = \dfrac{1}{2}$

${V}_{rms, 2} = 2{V}_{rms, 1}$

Hence,

Statement-I is true.

Now,

$PV = nRT$

But translational $KE = \dfrac{3}{2}nRT$

Hence, Statement-II is false.