One litre of hydrogen under standard conditions weighs 0.0896 g. find the value of gas constant ( R) for one mole of the gas.

Answer

`8.3 J//mole//K`

Explanation

As volume occupied by `0.0896 g = 1 "litre"`
`:.` Volume occupied by one mole of hydrogen `(2g)`
`V = (2)/(0.0896)` litre `= 22.3` litre`=22.3 xx 10^(-3)m^(3)`
Standard pressure , `P = 1` atmosphere
`=1.013 xx 10^(5) N//m^(2)`
and standard temp. `T = 273 K`
`:. R = (PV)/(T) = (1.013 xx 10^(5) xx 22.5 xx 10^(-3))/(273)`
`R = 8.3 J//"mole"//K`