Question

An evacuated glass vessel weighs 50.0 g when empty 148.0 g when filled with a liquid of density 0.98 g mLâˆ’1 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 gWeight of liquid = 148−50=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 = 50.5−50=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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