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Change in temperature between the initial and final state of the gas?

  1. May 8, 2009 #1
    Not sure what im doing wrong

    What is the change in temperature between the initial and final state of the gas?

    A) A monatomic, ideal gas is in a sealed container (the number of gas molecules is always constant: n = 2 moles); the initial pressure is Pi = 1.01 x 10^5 Pa and the initial volume is Vi = 0.0224 m3.

    First, the volume of the gas is decreased at a constant pressure (at Pi = 1.01 x 10^5 Pa) to a final volume of Vf = 0.0155 m3.
    Second, the pressure of the gas is increased at a constant volume (at Vf = 0.0155 m3) to a final pressure of Pf = 1.35 x 10^5 Pa.

    R=8.13 (given)

    Initial Temp= (1.01x10^5*.0224)/(8.13*2)= 136 (this is correct)
    Final temp= (1.35x10^5*.0155)/(8.13*2)= 128.7

    Delta T= Tf-Ti....128.7-136= -7.3 (which isn't correct)

    what am i doing wrong...
     
  2. jcsd
  3. May 8, 2009 #2
    It must be the final temp that im doing wrong
     
  4. May 9, 2009 #3
    Try,

    (Pi*Vi)/Ti = (Pf*Vf)/Tf

    solve for Tf
     
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