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]

Explanation

Mass of n-butane used up`=29.0-23.2=5.8kg`
`"No. of moles of n-butane used up"=(5.8xx1000g)/("58 g mol"^(-1))=100`
To calculate volume of 100 moles of the gas at `27^(@)C` and 1 atm pressure, apply PV = nRT
`"or "v=(nRT)/(P)=(100molxx0.0821" L atm K"^(-1)mol^(-1)xx300K)/("1 atm")="2463 L = 2.463 m"^(3)(1m^(3)=10^(3)L)`