Question

The mean square speed of the molecules of a gas at absolute temperature T is proportional to
(a) 1T
(b) √T
(c) T
(d) T2.

Answer 1

The mean square speed of the molecules of a gas at absolute temperature T is proportional to $\bold{\sqrt{T}}$

Explanation:

Root mean squared velocity is given by

The root mean square speed/velocity or $v_{rms}$is the square root of the average square speed and is. $v_{rms}$ =$\sqrt{\frac{3 R T}{M}}$ Where M equals the molecule's molar mass in kg /mol. The root mean square velocity represents the square root of the velocity square average. As such it has speed sensors.

$\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}$

Square root both side  

$&v_{r m s}^{2}=\frac{3 R T}{M}$

$&v_{r m s} \propto \sqrt{T}$

So (B) the answer is correct.

Answer 2

${\bold{\huge{\red{\underline{\green{ANSWER}}}}}}$

optin B is correct.