Answer:
It will tale 21.0 minutes for Ar to effuse
Explanation:
Step 1: Data given
A sample of Br2 takes 42.0 min to effuse
Molar mass of Br2 = 159.81 g/mol
Molar mass of Ar = 39.95 g/mol
Step 2: Calculate effusion time of Ar
R1 / R2 = √(M2/M1)
⇒ with R1 = the rate of effusion of Br2 = 42.0
⇒ with R2 = the rate ⇒of effusion of Ar = TO BE DETERMINED
⇒ with M1 = the molar mass of Br2 = 159.81 g/mol
⇒ with M2 = the molar mass of Ar = 39.95 g/mol
R1/R2 = t2/t1 = √(M2/M1)
⇒ t2 = the time needed for Ar to effuse = TO BE DETERMINED
⇒ t1 = the time needed for Br2 to effuse = 42.0
t2/42.0 = √(M2/M1)
t2/42.0 = √(39.95/159.81)
t2= 21.0 min
It will tale 21.0 minutes for Ar to effuse