Air(ideal gas) at 292.15k is expended by a piston from 600cm^3 to 900cm^3 at a temperature of 550k at 900kpa pressure. find the pressure bef

Question

Air(ideal gas) at 292.15k is expended by a piston from 600cm^3 to 900cm^3 at a temperature of 550k at 900kpa pressure. find the pressure before expansion.

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Đan Thu 4 years 2021-08-02T08:02:00+00:00 1 Answers 10 views 0

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  1. MichaelMet
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    2021-08-02T08:03:54+00:00
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    Answer:

    The pressure before expansion is 717.1 kPa.

    Explanation:

    We need to use the Ideal Gas equation to find the initial pressure:

    PV = nRT

    Where:

    P: is the pressure

    V: is the volume

    n: is the number of moles

    R: is the gas constant

    T: is the temperature

    Since the number of moles does not change after the expansion, we need the following number of moles:

    n = \frac{P_{f}V_{f}}{RT_{f}}  (1)

    Where “f” is for final

    Before the expansion, the pressure is:

    P_{i} = \frac{nRT_{i}}{V_{i}}   (2)

    By entering equation (1) into (2) we have:

    P_{i} = (\frac{P_{f}V_{f}}{RT_{f}})(\frac{RT_{i}}{V_{i}})

    P_{i} = \frac{P_{f}V_{f}T_{i}}{T_{f}V_{i}} = \frac{900 kPa*900 cm^{3}*292.15 K}{550 K*600 cm^{3}} = 717.1 kPa

    Therefore, the pressure before expansion is 717.1 kPa.                  

    I hope it helps you!        

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