An L.P.G. cylinder weight 14.8 kg when empty. When full, it weighs 29 kg and shows a pressure of 2.5 atm. In the course of use at `27^(@)C`, the weight of the full cylinder reduced to 23.2 kg. Find out the volume of `n-`butane in cubic metres used up at `27^(@)C` and 1 atm. [Mol. mass of butane = 58]

Answer

`2.463 m^(3)`

Explanation

Mass of `n-` butane used `= 29 - 23.2 = 5.8 kg`
Number of moles of butane used `= (5800)/(58) = 100`
`V = (nRT)/(P) = (100 xx 0.0821 xx 300)/(1)`
`= 2463` litre
`2.463 m^(3)`