Question

At constant temperature, if the pressure of given mass of gas is increased by 15% then the percentage change in its volume will be (nearly)

• A. $11.1$%
• B. $-16.6$%
• C. $18$%
• D. $-13$%

Answer 1

The correct option is D $-13$%

By Boyle's law
$P_1{V}_1=P_2{V}_2$
here it is given that $P_2=1.15P_1$
this gives $V_2=\frac{1}{1.15}{V}_1$
so percentage change in volume = $\frac{V_2-V_1}{V_1}$ x 100
$=-13$%