To identify a diatomic gas ( X 2 ), a researcher carried out the following exper

Question

To identify a diatomic gas (X2), a researcher carried out the following experiment: She weighed an empty 3.5-Lbulb, then filled it with the gas at 1.20atmand 30.0 ?C and weighed it again. The difference in mass was 4.7g . Identify the gas. Express your answer as a chemical formula. To identify a diatomic gas (X2), a researcher carried out the following experiment: She weighed an empty 3.5-Lbulb, then filled it with the gas at 1.20atmand 30.0 ?C and weighed it again. The difference in mass was 4.7g . Identify the gas. Express your answer as a chemical formula.

Explanation / Answer

we have the formula PV = nRT

now n = PV/RT = 1.2*3.5/3.0*0.0821 = 0.16883

we have the formula mole n = mass/molarmss

=> molarmass = mass/n = 4.7/0.16883 = 27.83 = 28 (approx)

Hence the molecule is N2

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