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  • Find out the ratio of the rms speeds of Hydrogen and Nitrogen molecule at STP?Option: 1 4.7:1Option: 2<

Find out the ratio of the rms speeds of Hydrogen and Nitrogen molecule at STP?

Option: 1

4.7:1


Option: 2

3.7 :1


Option: 3

2.7 :1


Option: 4

2.7:6.6


Answers (1)

best_answer

According to Avogadro's law at STP , the volume of 1 mol gas is 22.4 L.

Density of Hydrogen,

\rho__{_{H_{}}}=\frac{2}{22.4} \mathrm{~g} / \mathrm{L}

Density of Nitrogen,

\rho__{_{N_{}}}=\frac{28}{22.4} \mathrm{~g} / \mathrm{L}

Therefore, The ratio of the rms speed of Hydrogen and Nitrogen is :

\frac{C_{H_2}}{C N_2}=\frac{\sqrt{\frac{3 p}{\rho_H}}}{\sqrt{\frac{3 p}{\rho_N}}}=\sqrt{\frac{\rho_N}{\rho_H}}=\sqrt{\frac{28}{2}}=\sqrt{\frac{14}{1}}=3.74: 1

Posted by

Deependra Verma

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