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"=1000/0.08696c.c`
At S.T.P, pressure `=76 times 13.6 times 980"dyne"//cm^(2)` , Temperature = 273 K , Get constant, `r=(PV)/T`
`" "=((76 times 13.6 times980)(1000/0.08696))/(273)=(76 times 13.6 times 98)/(273 times 8696) times 10^(9)=0.04267 times 10^(9)`
`" "=4.267 times 10^(7)" erg "gm^(-1)K^(-1)=4.267" J "gm^(-1)K^(-1)=4267" J "Kg^(-1)K^(-1)`