The $rms$ speed of gas molecules at a temperature $27{\rm{K}}$ and pressure 1.5 bar is $1 \times {10^4}{\rm{cm}}/\sec $. If both temperature and pressure are raised three times, the ${\rm{rms}}$ speed of the gas will be:

$ \approx 1 \times {10^4}{\rm{cm}}/\sec $

$9 \times {10^4}{\rm{cm}}/\sec $

$3 \times {10^4}{\rm{cm}}/\sec $

$1 \times {10^4}{\rm{cm}}/\sec $

NEET UG CHEMISTRY MCQ: STATES OF MATTER

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Application +4 | -1

The

rms

speed of gas molecules at a temperature

27\mathrm{K}

and pressure 1.5 bar is

1 \times {10^4}\mathrm{cm}/\sec

. If both temperature and pressure are raised three times, the

\mathrm{rms}

speed of the gas will be:

View answer and explanation

Correct option: D

\approx 1 \times {10^4}\mathrm{cm}/\sec

Option D (

\approx 1 \times {10^4}\mathrm{cm}/\sec

) is correct because the RMS speed depends on the square root of temperature and is independent of pressure.