Solution:
Convert cm3 to L:
(280 cm3) × (0.001 L / 1 cm3) = 0.28 L
At STP, one mole of any gas occupies a volume of 22.4 L.
Thus 0.28 L of gas correspond to:
(0.28 L) × (1 mol / 22.4 L) = 0.0125 mol
Moles = Mass / Molecular mass
Thus,
Molecular mass of gas = Mass of gas / Moles of gas
Molecular mass of gas = (0.4 g) / (0.0125 mol) = 32 g/mol
Molecular mass of gas = 32 g/mol
Answer: The relative molecular mass of the gas is 32 g/mol
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