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Question

An evacuated glass vessel weighs 50.0 g when empty 148.0 g when filled with a liquid of density 0.98 g mL1 and 50.5 g when filled with an ideal gas at 760 mm Hg at 300 K, Determine the molar mass of the gas.

A
32.1 g
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B
321 g
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C
123 g
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D
12.3 g
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Solution

The correct option is C 123 g
Weight of liquid = 14850=98 g
Volume of liquid =980.98=100 mL= volume of vessel
It means, vessel of 100 mL contains ideal gas at 760 mm Hg at 300 K
Weight of gas = 50.550=0.5 g
using, PV=nRT, where, n=wm
So,
PV=wmRT
Substituting the values, we get,
760760×1001000=0.5m0.082×300
=123
Molecular mass of gas m=123 g

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