Question

At a constant temperature what should be the percentage increase in pressure for a 5% decrease in the volume of gas? (as nearest integer)

Answer 1

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 $5.26$ %
So, integer value is $5$.