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30 September, 19:59

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Question 41

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A 1.00-mole sample of neon gas occupies a volume of 24.4 liters at 298 K and 101.3 kilopascals. Which numerical setup can be used to calculate the density of this sample?

20.1798

1 mole

20.179 8

2241

20.179 1

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  1. 30 September, 21:59
    0
    d = 0.9 g/L

    Explanation:

    Given dа ta:

    Number of moles = 1 mol

    Volume = 24.2 L

    Temperature = 298 K

    Pressure = 101.3 Kpa (101.3/101 = 1 atm)

    Density of sample = ?

    Solution:

    PV = nRT (1)

    n = number of moles

    number of moles = mass/molar mass

    n = m/M

    Now we will put the n = m/M in equation 1.

    PV = m/M RT (2)

    d = m/v

    PM = m/v RT (by rearranging the equation 2)

    PM = dRT

    d = PM/RT

    The molar mass of neon is = 20.1798 g/mol

    d = 1 atm * 20.1798 g/mol / 0.0821 atm. L/mol. K * 273K

    d = 20.1798 g/22.413 L

    d = 0.9 g/L
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