Question 861: Thermodynamics & KTG

Question

If a gas is compressed isothermally then the r.m.s. velocity of the molecules

Accepted Answer

The root-mean-square (rms) velocity of gas molecules is,
$$\mathrm{v}_{\mathrm{r}, \mathrm{m} . \mathrm{s}}=\sqrt{\frac{3 \mathrm{kT}}{\mathrm{m}}}$$
$$\Rightarrow \mathrm{v}_{\mathrm{rms}} \propto \sqrt{\mathrm{T}}$$ for a given gas.
As the temperature is constant in isothermal process, the r.m.s velocity remains the same.

Answer

decreases.

Answer

increases.

Answer

remains the same.

Answer

first decreases and then increases.

Thermodynamics & KTG

If a gas is compressed isothermally then the r.m.s. velocity of the molecules

Choose the correct answer: