Question

A conducting and closed container of volume 300 litres contain an ideal gas at a high pressure Pinitial . Now using a pump , the gas it taken out at a constant rate 5 litre per sec . find the time in which the pressure inside the container decreases to Pinitial/100 .

Answer 1

$p_1V_1=p_2V_2,$

$\frac{V_1}{V_2}=100,$

$V_2=\frac{V_1}{100}=3~l,$

$∆V=V_1-V_2=297~l,$

$t=\frac{∆V}v=1~min.$