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22 August, 05:03

A 0.0434-m3 container is initially evacuated. Then, 4.19 g of water is placed in the container, and, after some time, all of the water evaporates. If the temperature of the water vapor is 417 K, what is its pressure? Number units in Pa

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  1. 22 August, 07:54
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    P = 18760.5 Pa

    Explanation:

    Given that

    Volume, V = 0.0434 m³

    Mass, m = 4.19 g = 0.00419 kg

    T = 417 K

    If we assume that water vapor is behaving like a ideal gas, then we can use ideal gas equation

    Ideal gas equation P V = m R T

    p=Pressure, V = Volume, m = mass

    T=Temperature, R=Universal gas constant

    Now by putting the values

    P V = m R T

    For water R = 0.466 KJ/kgK

    P x 0.0434 = 0.00419 x 0.466 x 417

    P = 18.7605 KPa

    P = 18760.5 Pa

    Therefore the answer is 18760.5 Pa
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