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  • Find out the rms speed of the gas of density 2g/L at 76 cm Hg pressure. Given , density of mercury = 13.6 g/cm3 and g = 980 cm/s2Optio

Find out the rms speed of the gas of density 2g/L at 76 cm Hg pressure. Given , density of mercury = 13.6 g/cm3 and g = 980 cm/s2

Option: 1

0.39 Km/s


Option: 2

2.39  Km/s


Option: 3

4.39  Km/s


Option: 4

5.39  Km/s


Answers (1)

best_answer

\rho=2 \mathrm{~g} / \mathrm{L}=\frac{2}{1000} \mathrm{~g} / \mathrm{cm}^3

p=76 \times 13.6 \times 980 \mathrm{dyn} / \mathrm{cm}

So, rms speed, $$ \begin{aligned} c=\sqrt{\frac{3 p}{S}} & =\sqrt{\frac{3 \times 76 \times 13.6 \times 980 \times 1000}{2}} \\ & =3.9 \times 10^4 \mathrm{~cm} / \mathrm{s} \\ & =0.39 \mathrm{~km} / \mathrm{s} \end{aligned}

Posted by

Rishi

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