The density of hydrogen at $0 C$ and 760 mm Hg pressure is 0.00009 g cc. What is the rms speed (cm / sec) of hydrogen molecules?

3.9 \times 10^{4}

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2.5 \times 10^{4}

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1.0 \times 10^{4}

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1.84 \times 10^{5}

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Solution

The correct option is D $1.84 \times 10^{5}$
Given
$d = 0.00009 g / c c = 0.09 k g / c c$
$P = 760 m m - H g o r 1 a t m = 1.01325 \times 10^{5} N / m^{2}$
$V_{r m s} = \sqrt{\frac{3 \times P}{0.09}}$
$V_{r m s} = \sqrt{\frac{3 \times 1.01325 \times 10^{5}}{0.09}}$
$V_{r m s} = 1837.57 m / s$
$V_{r m s} = 1.84 \times 10^{5} c m / s$

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The density of hydrogen at 0C and 760 mm Hg pressure is 0.00009 g cc. What is the rms speed (cm / sec) of hydrogen molecules?

The correct option is D 1.84×105Given d=0.00009 g/cc=0.09 kg/ccP=760 mm−Hg or 1atm=1.01325×105 N/m2Vrms=√3×P0.09Vrms=√3×1.01325×1050.09Vrms=1837.57 m/sVrms=1.84×105 cm/s

The density of hydrogen at $0 C$ and 760 mm Hg pressure is 0.00009 g cc. What is the rms speed (cm / sec) of hydrogen molecules?