Question

At what temperature most probable speed of $O_2$ molecules have the samevalue of root mean square speed of $O_2$ molecules at 300 K?

• A. 150 K
• B. 600 K
• C. 750 K
• D. 900 K

Answer 1

The correct option is D 900 K

We know,

$U_{RMS}=\sqrt{\frac{3RT}{M}}$

$U_{MP}=\sqrt{\frac{2RT}{M}}$

Given,

$U_{RMS}=U_{MP}$

$⟹3T_{RMS}=2T_{MP}$

So,

$T_{MP}=\frac{3}{2}\times T_{RMS}=450K$