In an effusion experiment, it was determined that nitrogen gas, N2, effused at a rate 1.812 times faster than an unknown gas. What is the molar mass of the unknown gas?

Question

(molar mass of N2 = 28.02 g/mol) Can u pleasee, give me the GRESA format of it?? (Given, Required, Equation, Solution, then answer) :)

Answer 1

Graham's Law of Effusion:

rate gas 1 / rate gas 2 = sqrt MW gas 2 / sqrt MW gas 1

That is to say, the rate of effusion is inversely related to the sqrt of the molar mass.

I don't know much about this GRESA format but hopefully you can figure out what is given, required, etc.

let rate of gas x = 1

rate of N₂ = 1.812

rate gas 1 / rate gas 2 = sqrt MW gas 2 / sqrt MW gas 1

1 / 1.812 = sqrt 28.02 / sqrt x

0.5519 = 5.293 / √x

√x = 9.591

x = 91.99 g/mol = molar mass of x