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2 April, 07:14

At high pressures, real gases do not behave ideally. calculate the pressure exerted by 18.0 g h2 at 20.0°c in a 1.00 l container assuming in part 1 non-ideal behavior and in part 2 ideal behavior.

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  1. 2 April, 08:12
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    Part 1 (non-ideal behavior):

    we will use Van der Waals formula:

    P = (nRT / (V-nb)) - (n^2 a/V2)

    when n (moles of H2) = 18 g / 2 = 9 moles

    R (constant) = 0.0821

    T (tempreature in kelvin = 20 + 273 = 293 K

    V (Volume) = 1 L

    a (constant for H2) = 0.2476

    b (constant for H2) = 0.02661

    So by substitution:

    ∴P = (9*0.0821*293 / (1 - (9*0.02661))) - (9^2*0.2476/1)

    ∴P ≈264.6 atm

    Part 2 (ideal behavior):

    we will use the ideal gas formula:

    PV = nRT

    when we have n = 9

    R = 0.0821

    T=293 K

    V = 1 L

    ∴P = (9*0.0821*293) / 1 L

    ∴P = 216.5 atm
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