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What will be the minimum pressure requir...

What will be the minimum pressure required to compress `500 dm^(3)` of air at 1 bar to `200 dm^(3)` at `30^(@)C` ?

Text Solution

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At constant temperature, volume of gas for fixed volume pressure will be calculated by Boyle.s formula.
At `30^(@)C` Boyle.s equaltion, `p_(1)V_(1)=p_(2)V_(2)`
where, `p_(1)=` Initial pressure = 1 bar
`V_(1)=` Initial volume `= 500 dm^(3)`
`V_(2)=` Final volume `= 200 dm^(3)`
`p_(2)=` Final pressure = (?)
`therefore p_(2) =(p_(1)V_(1))/(V_(2))`
`= (("1 bar")xx(500 dm^(3)))/(200 dm^(3))=2.5` bar
Minimum pressure to be kept is 2.5 bar.
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