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27 November, 23:32

If five moles of a gas at a pressure of 5.4 kpa have a volume of 120 liters, what is the temperature?

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  1. 27 November, 23:58
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    Given parameters:

    number of moles of gas = 5 moles

    pressure on the gas = 5.4kpa

    volume of gas = 120L

    Unknown:

    temperature of the gas = ?

    Solution:

    To solve this problem, we have to apply the ideal gas law.

    The law is derived from the combination of the three gas laws: Boyle's law, Charles's law and Avogadro's law.

    Combining the laws, we have;

    PV = nRT

    where P is the pressure in atm

    V is the volume

    n is the number of moles

    R is the gas constant 0.082atm dm³ mol⁻¹ K⁻¹

    T is the temperatue in kelvin

    Now, we must convert the pressure from kpa to atm;

    1 atm = 101.325kpa

    5.4kpa;

    = 0.053atm

    Input the parameters;

    0.053 x 120 = 5 x 0.082 x T

    T = 15.5K
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