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

The correct solution is "1230 K".

Step-by-step 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 √(T)`

or,

⇒
`((V_(rms))_1)/((V_(rms))_2) =\sqrt{(T_1)/(T_2) }`

On substituting the values, we get

⇒
`(200)/(350) =\sqrt{(400)/(T_2) }`

⇒
`T_2=1230 \ K`