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Question

An evacuated glass vessel weighs 50.0 g when it is empty and 148.0 g when it is filled with a liquid having a density of 0.98 g/mL1 and 50.5 g when it is filled with an ideal gas at 760 mm Hg and 300 K. Determine the molecular weight of the gas (round off to the nearest possible integer).

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Solution

Mass of the liquid in the glass vessel =14850=98 g
Volume of the liquid=massdensity=980.98=100 mL
Similarly, mass of the gas =50.550=0.5 g
Since, the volume of the liquid is 100 mL, it means that the volume of the glass vessel is 100 mL
On applying the ideal gas equation, we have,
PV=wMRT
where, w = weight of the gas
M = molecular weight of the gas
P = 760 mmHg = 1 atm
Substituting the values,
760760×1001000=0.5M×0.0821×300
On solving, the molecular weight of the gas M =123 g/mol

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