A perfect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m.s. speed of the…
A perfect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m.s. speed of the molecules will
increase by 10 times
decrease by 10 times
increase by 5 times
remain unchanged
Solution
As the gas is compressed isothermally, the temperature remains constant. The rms speed is given by,
$\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}$
$\therefore \quad$ The rms speed remains unchanged.