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30 May, 14:06

What is the density of ammonia gas, nh3, at 31°c and 751 mmhg?

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  1. 30 May, 15:48
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    First, we will use the general gas formula to get the number of moles.

    PV = nRT where:

    P is the pressure of gas = 751 mmHg = 100125.096375 Pascal

    V is the volume = 1 liter = 0.001 m^3

    n is the number of moles we want to calculate

    R is the gas constant = 8.314 J / (K. mol)

    T is the temperature = 31 degrees celcius = 304.15 degree kelvin

    Substitute in the above equation to get the number of moles as follows:

    100125.096375 * 0.001 = n * 8.314 * 304.15

    n = 0.039595 moles

    Now, we will use the number of moles to get the mass as follows:

    number of moles = mass / molar mass

    mass = number of moles * molar mass

    number of moles = 0.039595 moles

    molar mass of ammonia (NH3) = 14 + 3 (1) = 17 grams

    Substitute to get the mass as follows:

    mass = 0.039595 * 17 = 0.673122 grams

    Last step is to get the density as follows:

    density = mass / volume

    mass = 0.673122 grams

    volume = 1 liter

    density = 0.673122 / 1 = 0.673122 grams/liter = 0.000675 kg/L
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