Question

At what temperature will the r.m.s velocity of oxygen be 3/2 times of its value at S.T.P.?

• A. 614.25 K
• B. 674.25 K
• C. 914.25 K
• D. 974 K

Answer 1

The correct option is A 614.25 K

$u_{rms}=\sqrt{\frac{3RT}{M}}$
The value at temperature 'T' will be $u_{rms}^{{}^{\prime }}$
so, $u_{rms}^{{}^{\prime }}=\frac{3}{2}{u}_{rms}$
$\sqrt{T^{{}^{\prime }}}=\frac{3}{2}\sqrt{273}$
$T^{{}^{\prime }}=\frac{9\times 273}{4}=614.25K$