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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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From the given data: `P_(1) = 1` bar , `P_(2) = ?`
`V_(1) = 500 dm^(3)` , `V_(2) = 200 dm^(3)`
Since temperature is constant, Boyle's law can be applied
`P_(1)V_(1)` or `P_(2) = (P_(1)V_(1))/(P_(2))`
`P_(2) = (1 "bar" ) xx (500 dm^(3))/((20 dm^(3))) = 2.5` bar.
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