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25 June, 06:56

An experiment shows that a 115 mLmL gas sample has a mass of 0.169 gg at a pressure of 700 mmHgmmHg and a temperature of 30 ∘C∘C. What is the molar mass of the gas?

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  1. 25 June, 06:57
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    39.7g/mol

    Explanation:

    To calculate the molar mass of the gas, first let us calculate the number of mole of the gas. This is illustrated below:

    Data obtained from the question include:

    V = 115mL = 0.115L

    P = 700mmHg

    Recall: 760mmHg = 1atm

    700mmHg = 700/760 = 0.92atm

    T = 30°C = 30 + 273 = 303K

    R = 0.082atm. L/Kmol

    n = ?

    PV = nRT

    n = PV/RT

    n = (0.92 x 0.115) / (0.082x303)

    n = 4.26x10^-3mol

    Now we can obtain the molar mass of the gas as follows:

    Mass of the gas = 0.169g

    Number of mole of the gas = 4.26x10^-3mol

    Molar Mass of gas = ?

    Number of mole = Mass / Molar Mass

    Molar Mass = Mass/number of mole

    Molar Mass of the gas = 0.169/4.26x10^-3

    Molar Mass of the gas = 39.7g/mol
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