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30 October, 10:36

a chemist isolated a gas in a glass bulb with a volume of 255 ml at a temperature of 25 and a pressure of 10 torr. The gas weighed 12.1 mg. What is the molecular mass of this gas

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  1. 30 October, 13:03
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    88.5 g/m is the molar mass for the gas

    Explanation:

    We need the Ideal Gases Law equation to solve this:

    P. V = n. R. T

    Pressure (P) = 10 Torr

    We must convert to atm → 10 Torr / 760 Torr = 0.0131 atm

    Volume (V) = 255 mL

    We must convert to L → 255 mL / 1000 = 0.255 L

    n = number of moles

    moles = mass in g / molar mass

    12.1 mg / 1000 = 0.0121 g

    T° = 25°C + 273K = 298K

    R = 0.082 L. atm / mol. K

    Let's replace the values

    0.0131 atm. 0.255L = 0.0121 g / x. 0.082 L. atm / mol. K. 298K

    (0.0131 atm. 0.255L) / (0.082 L. atm / mol. K. 298K) = 0.0121 g / x

    1.367*10⁻⁴ / mol = 0.0121 g / x

    x = 0.0121 g / 1.367*10⁻⁴ mol = 88.5 g/m
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