1.

An `LPG` cylinder weighs `14.8 kg` when empty. When full it weighs `29.0 kg` and the weight of the full cylinder reduces to `23.2 kg`. Find out the volume of the gas in cubic metres used up at the normal usage conditions and the final pressure inside the cylinder. Assume `LPG` to be `n`-butane with normal boiling point of `0^(@)C`.

Answer» Weight of full cylinder `=29 kg`
Weight after usage `=23.2 kg`
Gas consumed `=29-23.2=5.8kg` or `5800 g`
For butane `(C_(4)H_(10))`, `M=58`
Normal pressure `=1 atm`
Room temperature `=298 K`
`PV=nRT`
or `1xxV=(5800)/(58)xx0.0821xx298`
or `V=2446.58 L~~2.447m^(3)`


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