Two vessels of volumes 16.4 ~L and 5 ~L contain two ideal gases of molecular existence at the respective temperature of 27^ C and 227^ C and exert 1.5 and 4.1 atmospheres respectively. The ratio of the number of molecules of the former to that of the later is
A. 2
Given conditions V _ 1 =16.4 ~L , ~V _ 2 =5 ~L P _ 1 =1.5 ~atm , P _ 2 =4.1 ~atm T _ 1 =273+27=300 ~K T _ 2 =273+227=500 ~K Applying gas equation, P _ 1 ~V _ 1 P _ 2 ~V _ 2 = n _ 1 ~T _ 1 n _ 2 ~T _ 2 n _ 1 n _ 2 = P _ 1 ~V _ 1 ~T _ 1 P _ 2 ~V _ 2 ~T _ 2 1.5 16.4 500 4.1 5 300 = 2 1
Related: Chemistry — States of Matter · All PYQ Banks