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Homework Help: Piston Temperature Problem

  1. Aug 7, 2011 #1
    1A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 498 cm^3 of air at atmospheric pressure (1.01 x 10 ^5 Pa) and a temperature of 27.0 C. At the end of the stroke, the air has been compressed to a volume of 46.3 cm^3 and the gauge pressure has increased to 2.8 x 10 ^6 Pa . What is the final temperature?


    P0=1.01 x 10 ^5 Pa
    V0=498 cm^3

    Pf=2.8 x 10 ^6 Pa .
    Vf=46.3 cm^3

    So I set a a proportionality and I get Tf=Pf * Vf* T0/( P0 * V0)

    plug in the values and get about 773 K or 500 celsius but my answer is wrong.
    Last edited: Aug 7, 2011
  2. jcsd
  3. Aug 7, 2011 #2


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    Homework Helper

    gauge pressure is the actual pressure - atmospheric pressure.

    i.e. gauge pressure = absolute pressure - atmospheric pressure

    you need to get Pf in absolute pressure so add atmospheric to it.
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