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Lalita Mitra
Asked: 2022-11-07T09:30:19+05:30 In:

An evacuated glass vessel weighs `50.0 g` when empty, `148.0 g` when filled with a liquid of density `0.98 g mL^(-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.

An evacuated glass vessel weighs `50.0 g` when empty, `148.0 g` when filled with a liquid of density `0.98 g mL^(-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.
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  1. Mass of ideal gas `=50.5-50=0.5 g`
    Mass of liquid `=148-50=98 g`
    `Volume=(Mass)/(Density)=(98)/(0.98)=100 mL` or `0.1 L`
    For the gas,
    `PV=(w)/(M)RT`
    or `(760)/(760)xx0.1=(0.5)/(M)xx0.0821xx300`
    or `M=123.15`

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