Question

What percent of a sample of Nitrogen must be allowed to escape if its temperature pressure and volume are to be changed from 220 degree Celsius , 3 atm and 1.65 litre to 110 degree celsius ,0.7 atm and 1 litre respectively

please give explanation with answer

Answer 1

From Ideal Gas Law we know PV = nRT or n = PV/RT

p1= 3 atm V1=1.65 L T1= (273+220) =493K P2=0.7 atm, T2= (273+110)=383K, V2= 1.0L

percent nitorgen to be released= (n1-n2)/n1X100=(1-n2/n1)X100

= [1- (0.7X1X493)/(3X1.65X383)]X100= 81.7%