Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Thermo question.

  1. Apr 25, 2005 #1
    I have a thermodynamics exam tomorrow. This is a past exam question and i'm not doing very well with it. If anyone has any ideas please help!!

    A charge enters a spark ignition engine at 330K and 1 bar, and is isentropically compressed through a ratio of 7:1. Estimate the temp and pressure at the end of the compression, taking the charge to be:
    a) pure air with constant specific heat.
    b) a stoichiometric mixture of air and octane(C8H18) with variable specific heats (neglect residual gases). :eek:
  2. jcsd
  3. Apr 27, 2005 #2


    User Avatar
    Staff Emeritus
    Science Advisor

    Well, I guess the test was yesterday. How'd you do?


    1) First of all, you must understand the significance of isentropic.

    Then the compression is 7:1 so the charge, air, is compressed to 7 bar.

    Then solve the temperature using the appropriate equation.

    2) similar to 1) but now a mixture of stoichiometric mixture of air and octane(C8H18) - so determine the partial pressures and composition, which influences specific heat. Same compression ratio.
  4. Apr 27, 2005 #3


    User Avatar
    Science Advisor

    That's not true. You need to use the isentropic relations. Compression ratio is a ratio of volumes, not pressures. The three isentropic relations are:
    (T2/T1) = (v1/v2)^(k-1)
    (T2/T1) = (P2/P1)^(k-1)/k
    (P2/P1) = (v1/v2)^k
    These are estimations based on constant specific heats. To be more accurate and use variable specific heats, you will need to use vr and Pr, relative specific volume and relative pressure. However, since the question says estimate, using the isentropic relations should be good. So, if (v1/v2) = 7, then P2 = P1*7^1.4 (k = 1.4 for air). Likewise, T2 = T1*7^0.4

    As said in the other thread, I'm not 100% sure how to do part b off the top of my head.
  5. May 1, 2005 #4


    User Avatar
    Staff Emeritus
    Science Advisor

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook