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3 November, 06:33

A gas has a mass of 3.82 g and occupies a volume of 0.854 L. The temperature in the laboratory is 302 K, and the air pressure is 1.04 atm. Calculate the molar mass of the gas.

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  1. 3 November, 06:57
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    m = given mass of gas = 3.82 g

    M = molar mass of gas = ?

    T = temperature of laboratory = 302 K

    P = air pressure = 1.04 atm = 1.04 x 101325 pa

    V = volume of gas = 0.854 L = 0.854 x 10⁻³ m³

    using the ideal gas equation

    PV = (m/M) RT

    inserting the above values

    (1.04 x 101325) (0.854 x 10⁻³) = (3.82/M) (8.314) (302)

    M = 106.6 g

    hence the molar mass of the gas comes out to be 106.6 g
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