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5 L of nitrogen measured at 750 mm have ...

`5 L` of nitrogen measured at `750 mm` have to be compressed into an iron cylinder of `1 L` capacity. If temperature is kept constant, calculate the pressure in atmospheres required to do so.

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Verified by Experts

The correct Answer is:
`5 "bar"`

`P_(1) = 1 "bar" , P_(2) = ?`
`V_(2) = 5 L , V_(2) = 1 L`
Since temperature is constant, Boyles' Law is applicable.
`P_(1)V_(1) = P_(2)V_(2)` or `P_(2) = (P_(1)V_(1))/(V_(2)) = (1"bar" xx (5L))/((1L)) = 5 "bar"`
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