Question 887: 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: