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  • At room temperature the rms speed of the molecules of a certain diatomic gas is found to be <img alt="1930 \mathrm{~m} / \mathrm{s}" src="https://entrancecorner.oncodecogs.com/gif.latex?1930%20%5Cm

At room temperature the rms speed of the molecules of a certain diatomic gas is found to be 1930 \mathrm{~m} / \mathrm{s}. The gas is

Option: 1

\mathrm{H}_{2}


Option: 2

\mathrm{F_{2}}


Option: 3

\mathrm{O}_{2}


Option: 4

\mathrm{Cl}_{2}


Answers (1)

best_answer

\quad \mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}

\therefore \quad \mathrm{M}=\frac{3 \mathrm{RT}}{\mathrm{V}_{\mathrm{rms}}{ }^{2}}=\frac{3 \times 8.31 \times 300}{(1930)^{2}}=2.0078 \times 10^{-3} \mathrm{~kg}=2.00 \mathrm{gm}

It is molecular weight of hydrogen \left(\mathrm{H}_{2}\right).

Posted by

manish painkra

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