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

Explanation

Density of hydrogen at S.T.P = 0.08696 gm/ litre Volume of 1 gm of hydrogen
`= (1)/(0.08696) "litre" = (1000)/(0.08686)`c.c
At S.T.P, pressure = `76 xx 13.6 xx 980` dyne / `cm^(2)`
Temperature = 273 K , Gas constant , r = `(PV)/(T)`
`= ((76 xx 13.6 xx 980 ) ((1000)/(0.08696)) )/(273) = (76 xx 13.6 xx 98)/(273 xx 8696) xx 10^(9)`
`0.04267 xx 10^(9) = 4.267 xx 10^(7) `erg `gm^(-1) K^(-1)`
= `4.267 J " gm"^(-1) K^(-1) = 4267 J Kg^(-1) K^(-1)`