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Find out the ratio of the rms speeds of ...

Find out the ratio of the rms speeds of hydrogen and nitrogen molecules at STP?

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According to Avogadro.s law at STP the volume of 1mol gas is 22.4 L
`therefore ` Density of hydrogen , `p_H=2/22.4g.L^-1`
and density of nitrogen ,`p_N=28/22.4g.L^-1`
`therefore` The ratio of the rms speeds of hydrogen and nitrogen is
`c_(H_2)/c_(N_2)=(sqrt((3p)/(p_H)))/sqrt((3p)/p_N)=sqrt(p_N/p_H)=sqrt(28/2)=sqrt(14/1)=3.74:1`
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