Question 832: Thermodynamics & KTG

Question

When the rms velocity of a gas is denoted by '$v$', which one of the following relations is true?
($\mathrm{T}=$ Absolute temperature of the gas.)

Accepted Answer

The r.m.s. speed (v) of a gas is $v=\sqrt{\frac{3 R T}{M}}$ i.e. $\mathrm{v} \propto \sqrt{\mathrm{T}}$
$	herefore \mathrm{v}^2 \propto \mathrm{T} \quad 	herefore \mathrm{v}^2=\mathrm{KT} 	ext { or } \frac{\mathrm{v}^2}{\mathrm{~T}}=\mathrm{constant}$

Answer

$\frac{\mathrm{v}^2}{\mathrm{~T}}=$ constant

Answer

$\mathrm{v}^2 \mathrm{T}=$ constant

Answer

$\mathrm{vT}^2=$ constant

Answer

$\frac{\mathrm{v}}{\mathrm{T}^2}=$ constant

Thermodynamics & KTG

When the rms velocity of a gas is denoted by 'v', which one of the following relations is true? (\mathrm{T}= Absolute temperature of the gas.)

Choose the correct answer: