1.

It is desired to fill a cylinder of `1 L` capacity at `82 atm` and `27^(@)C` with hydrogen. What will be the density of the hydrogen in the cylinder? What will be the volume of hydrogen under standard conditions of temperature and pressure?

Answer» Given
`V_(1)=1 L`, `V_(2)=?`
`P_(1)=82 atm`, `P_(2)=1 atm`
`T_(1)=27^(@)C` or `300.15 K`, `T_(2)=0^(@)C` or `273.15 K`
`density=?`
`:. V_(2)=(P_(1)V_(1))/(T_(1))xx(T_(2))/(P_(2))=(82xx1)/(300.15)xx(273.15)/(1)=74.6 L`


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