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The density of hydrogen at S.T.P is 0.08...

The density of hydrogen at S.T.P is 0.08696 gm/litre. Find the gas constant of hydrogen.

Text Solution

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Density of hydrogen at S.T.P = 0.08696 gm/ litre
Volume of 1 gm of hydrogen
= `1/(0.08696)"litre"=(1000)/(0.08696)c.c`
At S.T.P, pressure = `76xx13.6xx980"dyne"//cm^(2)`
Temperature = 273 K, Gas constant, `r=(PV)/T`
= `((76xx13.6xx980)(1000/0.08696))/273=(76xx13.6xx98)/(273xx8696)xx10^(9)`
= `0.04267xx10^(9)=4.267xx10^(7)"erg"gm^(-1)K^(-1)`
= `4.267Jgm^(-1)K^(-1)=4267JKg^(-1)K^(-1)`
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