Question

$2.5L$ of a sample of a gas at ${27}^{\circ }C$ and $1bar$ pressure is compressed to a volume of $500mL$ keeping the temperature constant, the percentage increase in the pressure is:

• A. $100$%
• B. $400$%
• C. $500$%
• D. $80$%

Answer 1

The correct option is B $400$%

As the temperature is constant,

$P_1{V}_1=P_2{V}_2$
$1\times 25=P_2\times \frac{1}{2}$
$P_2=5bar$
% $Increaseinpressure=\frac{\text{Increase in pressure}}{\text{Initial pressure}}\times 100$
$=\frac{4}{1}\times 100=400$%