One mole of nitrogen gas at a pressure of 0.8 atm takes 38 s to effuse through a small pinhole. Under the same conditions but at a pressure of 1.6 atm, one mole of a xenon fluoride compound takes 57 s to effuse through the same hole. What is the molar mass (in g/mol) of the xenon fluoride

Question

One mole of nitrogen gas at a pressure of 0.8 atm takes 38 s to effuse through a small pinhole. Under the same conditions but at a pressure of 1.6 atm, one mole of a xenon fluoride compound takes 57 s to effuse through the same hole. What is the molar mass (in g/mol) of the xenon fluoride compound?

Accepted Answer

254. Using the modified Graham's law where effusion rate is proportional to P/sqrt(M), setting the rates equal for both gases gives the molar mass of the xenon fluoride as 254 g/mol, which corresponds to XeF4.

One mole of nitrogen gas at a pressure of 0.8 atm takes 38 s to effuse through a small pinhole. Under the same conditions but at a pressure of 1.6 atm, one mole of a xenon fluoride compound takes 57 s to effuse through the same hole. What is the molar mass (in g/mol) of the xenon fluoride compound?

Solution

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