If oxygen has root mean square velocity of C m/s, then root mean square velocity of H

If oxygen has root mean square velocity of C m/s, then root mean square velocity of hydrogen will be

Options

(a) C m/s
(b) 1 / C m/s
(c) 4C m/s
(d) C / 4 m/s

Correct Answer:

4C m/s

Explanation:

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  • root mean square velocity = √3RT/molecular weight of the gas
    therefore,
    Vrms is inversely proportional to root of molecular weight of the gas.
    Vrms(O2)/Vrms(H2)=√Mw.weight of H2/Mw.weight of O2

    root mean square velocity of oxygen is C m/s.
    therefore,
    root mean square velocity of H2 is 4C m/s.

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