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13 January, 10:36

A large cylindrical tank contains 0.750 m3 of nitrogen gas at 27°C and 7.50 * 103 Pa (absolute pressure). The tank has a tight-fitting piston that allows the volume to be changed. What will be the pressure if the volume is decreased to 0.480 m3 and the temperature is increased to 157°C?

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  1. 13 January, 11:48
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    Answer: The answer is 68142.4 Pa

    Explanation:

    Given that the initial properties of the cylindrical tank are:

    Volume V1 = 0.750m3

    Temperature T1 = 27C

    Pressure P1 = 7.5*10^3 Pa = 7500Pa

    Final properties of the tank after decrease in volume and increase in temperature:

    Volume V2 = 0.480m3

    Temperature T2 = 157C

    Pressure P2 = ?

    Applying the gas law equation (Charles and Boyle's laws combined)

    P1V1/T1 = P2V2/T2

    (7500 * 0.750) / 27 = (P2 * 0.480) / 157

    P2 = (7500 * 0.750 * 157) / (0.480 * 27)

    P2 = 883125/12.96

    P2 = 68142.4Pa

    Therefore the pressure of the cylindrical tank after decrease in volume and increase in temperature is 68142.4Pa
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