Question

At a constant temperature what should be the percentage increase in pressure for a $5$% decrease in the volume of gas?

• A. $5$%
• B. $10$%
• C. $5.26$%
• D. $4.26$%

Answer 1

Answer: (C)

$5.26$%

As we know,
$PV=nRT$ so at constant temp.
$P\propto \frac{1}{V}$
$\frac{P_1}{P_2}=\frac{V_2}{V_1}$
$V_2=[V_1-\frac{5V_1}{100}]$
$\frac{P_1}{P_2}=\frac{V_2}{V_1}=0.95$
$P_2=1.0526P_1$
So increases in P is $5.26$ %.