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A gas occupies a volume 1.5 L at 9.5xx 1...

A gas occupies a volume `1.5 L` at `9.5xx 10^(5)Nm^(-2)`. Calculate the additional pressure required to decrease the volume to `1.0L` keeping temperature constant.

Text Solution

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Given : `P_(1)= 9.5xx 10^(5)Nm^(-2), V_(1)=1.5L, V_(2)= 1.0L, P_(2)= ?`
From Boyle.s law equation, `P_(1)V_(1)= P_(2)V_(2)`
`P_(2)= (P_(1)V_(1))/(V_2)= (9.5 xx 10^(5)Nm^(-2) xx 1.5L)/(1.0L)= 14.25xx 10^(5)Nm^(-2)`
Additional pressure required `=14.25xx 10^(5)Nm^(-2)-9.5xx 10^(5)Nm^(-2)= 4.75xx 10^(5)Nm^(-2)`.
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