Question

At constant temperature on increasing the pressure of a gas by 5%, its volume is decreases by -x%. The value of x is (Answer upto two decimal places)

Answer 1

T = constant,
Using Boyle's Law, we can say
PV = constant

$PV=(P+\frac{5}{100}P)V^{\prime }$
$V^{\prime }=\frac{V}{1.05}$
% change in volume $=\frac{\frac{V}{1.05}-V}{V}\times 100$
$=\frac{-0.05}{1.05}\times 100=-\frac{5}{1.05}=-4.76\%$