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24 November, 07:40

A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is 5.00 * 1020 atoms>cm3, and the average translational kinetic energy of each atom is 1.80 * 10-23 J. (a) What is the gas pressure?

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  1. 24 November, 08:05
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    Pressure, P=6*10^3Pa

    Explanation:

    The gas has an ideal gas behaviour and ideal gas equation

    PV=NKT

    T = V/N p/K ... eq1

    Average transitional kinetic energy Ktr=1.8*10-23J

    Ktr=3/2KT

    T=2/3Ktr/K ... eq2

    Equating eq1 and 2

    V/N p/K = 2/3Ktr/K

    Cancelling K on both sides

    P = 2/3N/V (Ktr)

    Substituting the value of N/V and dividing by 10^-6 to convert cm^3 to m^3

    P = 2/3 (5.0*10^20) / 10^-6 * 1.8*10^-23

    P = 6 * 10^3Pa
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