States of Matter - Result Question 14
####14. 600 c.c. of a gas at a pressure of $750 mm$ is compressed to 500 c.c. Taking the temperature to remain constant, the increase in pressure, is
(a) $150 mm$
(b) $250 mm$
(c) $350 mm$
(d) $450 mm$
[1995]
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Solution:
- (a) Given initial volume $(V_1)=600$ c.c.; Initial pressure $(P_1)=750 mm$ and final volume $(V_2)=500$ c.c. According to Boyle’s law,
$P_1 V_1=P_2 V_2$
$\Rightarrow 750 \times 600=P_2 \times 500$
or $P_2=\frac{750 \times 600}{500}=900 mm$.
Therefore increase in pressure $=(900-750)$
$ =150 mm \text{. } $
