600 cc of a gas at a pressure of 750 mm is compressed to 500 cc. Taking the temperature to remain constant, the increase in pressure is

Options

A. 150 mm of Hg
B. 250 mm of Hg
C. 350 mm of Hg
D. 450 mm of Hg

Answer

A

Explanation

Given initial volume `(V_(1))` = 600 c.c., Initial pressure
`(P_(1))` = 750 mm of Hg and final volume `(V_(2))` = 500 c.c.
According to Boyle.s law,
`P_(1)V_(1)=P_(2)V_(2)`
or `750xx600=P_(2)xx500`
or `P_(2)=(750xx600)/500=900` mm of Hg
Therefore increase of pressure= (900- 750)
=150 mm of Hg