Calculate molar mass of X, knowing that X effuses at a rate of 28m/s and nitrogen effuses at a faster rate, 43m/s.

Question

Calculate molar mass of X, knowing that X effuses at a rate of 28m/s and nitrogen effuses at a faster rate, 43m/s. (Hint: you need to get rid of the square root before doing any mathematical calculation)

Answer 1

You will be using the rate of effusion equation in the format

Rate N₂ / Rate X = √ Molar mass X / √ Molar Mass of N₂

( 43 m/s /28 m/s ) = √ Molar mass X / √ (28 g /mol)

In order to remove the √ sign we will need to square both sides...

(1.54)² = Molar Mass X / 28

2.37 = Molar Mass X / 28

Molar Mass X = 66.4 g/mol