Question

if the root mean square speed of a gas particle is 200 m/s at a temperature of 400k, at what approximate temperature will urms when kelvin temperature equals 350 m/s

Answer 1

Answer:

The correct solution is "1230 K".

Explanation:

The given values are:

$(V_{rms})_1= 200 \ m/sec$

$(V_{rms})_2= 350 \ m/sec$

$T_1=400 \ K$

As we know,

⇒  $V_{rms} \propto \sqrt{T}$

or,

⇒  $\frac{(V_{rms})_1}{(V_{rms})_2} =\sqrt{\frac{T_1}{T_2} }$

On substituting the values, we get

⇒  $\frac{200}{350} =\sqrt{\frac{400}{T_2} }$

⇒   $T_2=1230 \ K$