The mole fraction of the sulfur dioxide gas present in a falsk which contains 21.8 g of chlorine gas and 47.8 g of sulfur dioxide gas is 0.708.
Mole fraction of any substance will be calculated by dividing the moles of desired substance by the total moles of the species present in that sample.
Moles can be calculated as:
n = W/M, where
W = given mass
M = molar mass
Moles of 21.8g of chlorine gas = 21.8g / 71g/mol = 0.307mol
Moles of 47.8g of sulphur dioxide gas = 47.8g / 64g/mol = 0.746mol
Mole fraction of sulphur dioxide gas = 0.746 / 0.746+0.307 = 0.708
Hence required mole fraction of sulphur dioxide gas is 0.708.
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