A mixture of hydrogen and oxygen gas weighing `0.76g` has volume 2 liter temperature `300K` and pressure `100 kPa` Calculate masses of hydrogen and oxygen in gas mixture Assume ideal nature .

Explanation

`V =2litre = 2 xx 10^(-3) m^(3),`
`P =100kPa = 100 xx 10^(3) Pa`
`w_(H_2) + w_(O_2) = 0.76g`
Also `n = [n_(H_2) + n_(O_2)] = (PV)/(RT)`
` = (100xx10^(3) xx 2xx 10^(-3))/(8.314 xx 300) = 0.08`
or `(w_(H_2))/(2) + (w_(O_2))/(32) = 0.08`
or `16w_(H_2) + w_(O_2) = 2.56`
By eqns (i) and (ii)
`w_(H_2) = 0.12 g, w_(O_2) = 0.64 g` .