A sample of Br2(g) takes 30.0 min to effuse through a membrane. How long would it take the same number of moles of Ar(g) to effuse through the same membrane?
1 Answer
Graham's law of effusion states that the rate of effusion (
#Rprop1/sqrtM#
For two gases
# R_"Ar"/R_"Br" = sqrt(M_"Br"/M_"Ar")...(1)#
If the times of effusion of same number of moles (n) of two gases (Ar and Br) or same volume (v) of the gases under same condition of temperature and pressure be
So inserting these in (1) we get
Given
So from (2) we get