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Calculate the rate of effusion of nitrogen d ioxide compared to sulfur dioxide at the same...

Calculate the rate of effusion of nitrogen d ioxide compared to sulfur dioxide at the same temperature and pressure.

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Answer #1

Graham's Law states

The rate at which gases diffuse is inversely proportional to the square root of their densities.

Since volumes of different gases contain the same number of particles the number of moles per liter at a given T and P is constant. Therefore, the density of a gas is directly proportional to its molar mass (MM).

Molar mass of nitrogen dioxide is 46g/mol

molar mass of sulphur dioxide is 64g/mol

rate of NO2/rate of SO2 = (MM of SO2/MM of NO2)

rate of NO2/rate of SO2 = (64/46)

rate of NO2/rate of SO2 = 1.39

rate of NO2/rate of SO2 = 1.18

So rate of NO2 effusion is 1.18 times faster than rate of SO2 effusion.

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