A piston–cylinder arrangement containing Nitrogen (N2), initially at 4 bar and 438 K, undergoes an expansion to a final temperature of 300 K

Question

A piston–cylinder arrangement containing Nitrogen (N2), initially at 4 bar and 438 K, undergoes an expansion to a final temperature of 300 K, during which the pressure–volume relationship is pV1.3 = constant. Assuming the ideal gas model for the N2, determine:

(a) the final pressure (bar),

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Calantha 6 months 2021-07-28T02:53:27+00:00 1 Answers 4 views 0

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    2021-07-28T02:54:48+00:00

    Answer:

    A. The final pressure is 0.776bar

    Explanation:

    To obtain the final pressure, we use the formula:

    P2 / P1 = (T2 /T1)^n/n-1

    P1 = 4bar = 400kPa

    T1 = 438K

    T2 = 300K

    Polytropic index, n= 1.3

    So therefore,

    P2 = 4 (300 / 438) ^1.3/1.3-1

    P2 = 4(300/438)^1.3/0.3

    P2= 4(300/438)^4.333

    P2 = 4 * 0.19400

    P2 = 0.776bar.

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