The rms speed (in m / s ) of oxygen molecules of the gas at temperature 300 K , is

Correct answer: A. 483 The rms speed is given by v_ rms = (3 R T)/(M_0) where, aligned R & = gas constant T & = Temperature of the gas and M_0 & = Molecular weight of the gas & = 3 × 8.3 × 300 32 × 10^ -3 & =483 m / s aligned

JIPMER 2015

Exam: JIPMER
Year: 2015
Subject: Physics
Chapter: Kinetic Theory of Gases

JIPMER 2015 · Physics · Kinetic Theory of Gases

The rms speed (in m / s ) of oxygen molecules of the gas at...

The rms speed (in

\mathrm{m} / \mathrm{s}

) of oxygen molecules of the gas at temperature 300 K , is

Options

A $483$
B $504$
C $377$
D $346$

Correct answer

A. $483$

Step-by-step solution

The rms speed is given by

v_{\mathrm{rms}}=\sqrt{\frac{3 R T}{M_0}}

where,

\begin{aligned} R & =\text{ gas constant } \\ T & =\text{ Temperature of the gas } \\ \text{ and } M_0 & =\text{ Molecular weight of the gas } \\ & =\sqrt{\frac{3 \times 8.3 \times 300}{32 \times 10^{-3}}} \\ & =483 \mathrm{ m} / \mathrm{s}\end{aligned}

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