If 0.15 mol of i2 vapor can effuse through an opening in a heated vessel in 36 sec, how long will it take 0.15 mol of cl2 to effuse under the same conditions?

It will take 19.03 seconds to effuse Cl2

Explanation:

Step 1: Data given

0.15 mol of I2 effuses in 36 sec

Step 2: Calculate the time to effuse 0.15 mol of Cl2

R2/R1 = √(M1/M2)

R = 1/T

T1/T2 = √(M1/M2)

⇒ with T1 = the time needed to effuse I2 = 36 sec

⇒ with T2 = the time needed to effuse Cl2 = TO BE DETERMINED

⇒ with M1 = the molar mass of I2 = 253.8 g/mol

⇒ with M2 = the molar mass of Cl2 = 70.9 g/mol

36/X  =  √(253.8/70.9)

X= 19.03

It will take 19.03 seconds to effuse Cl2