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16 April, 12:52

Dinitrogen monoxide gas is collected at 19.0 °C in an evacuated flask with a measured volume of 30.0 L. When all the gas has been collected, the pressure in the flask is measured to be 0.500 atm. Calculate the mass and number of moles of dinitrogen monoxide gas that were collected.

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  1. 16 April, 13:33
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    The mass of dinitrogen monoxide gas that is collected is 27.6 grams

    Explanation:

    Step 1: Data given

    Molar mass of N2O = 44.013 g/mole

    Temperature = 19.0 °C = 292 Kelvin

    volume of the gas = 30.0 L

    Pressure of the gas = 0.500 atm

    Gasconstant = 0.08206 L*atm/K*mol

    Step 2: Calculate number of moles

    via the ideal gas law:

    P*V = n*R*T

    n = (P*V) / (R*T)

    n = (0.500 atm * 30.0 L) / (0.08206 L*atm/K*mol * 292 K)

    n = 0.626

    Step 3: Calculate mass of dinitrogen monoxide

    mass = number of moles * Molar mass

    mass of N2O = 0.626 moles * 44.013 g/mole

    mass of N2O = 27.6 grams

    The mass of dinitrogen monoxide gas that is collected is 27.6 grams
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