Question

At constant temperature when pressure of gas decreased by 50% than since percentage change in volume.

Answer 1

At constant temperature

$P\alpha \frac{1}{V}\Rightarrow P=$ constant

Let initial pressure be $i_1$ and volume $V_1$

final pressure $P_1\times \frac{50}{100}=\frac{P_1}{2}$

and final volume $V_2$

$P_1{V}_1=P_2{V}_2$

$P_1{V}_1=\frac{P_1}{2}{V}_2\Rightarrow V_2=2V_1$

$\%$ change in volume $=\frac{2V_1-V_1}{V_1^o}\times 100$

$=100\%$