Question 643: Thermodynamics & KTG

Question

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

Accepted Answer

If a gas is compressed
isothermally
, its temperature remains constant.
The root mean square (r.m.s.) velocity of gas molecules is given by:
$$ v_{rms} = \sqrt{\frac{3kT}{m}} $$
where:
$k$ = Boltzmann constant,
$T$ = absolute temperature,
$m$ = mass of one molecule.
Since the r.m.s. velocity depends only on temperature $T$, and
isothermal
means temperature does not change, the r.m.s. velocity
remains the same
.
Correct answer: Option C - remains the same.

Answer

increases.

Answer

decreases.

Answer

remains the same.

Answer

first increases and then decreases.

Thermodynamics & KTG

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

Choose the correct answer: