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Exponent question please help

  1. May 15, 2010 #1
    Ok I mucked up the question

    given
    [tex] VT^{\frac{f}{2} [/tex] = constant
    [tex] T = PV [/tex]
    Need help simpi
    -------

    I get [tex] V (PV)^{\frac{f}{2}} [/tex]
    which is the same as
    [tex] V P^{\frac{f}{2}}V^{\frac{f}{2}} [/tex]
    which is the same as
    [tex] P^{\frac{f}{2}} V^{\frac{2+f}{2}} [/tex]

    Now how do i simplify it from here?

    answer is [tex] PV^{\frac{2+f}{f}} [/tex]
     
    Last edited: May 15, 2010
  2. jcsd
  3. May 15, 2010 #2
    whoops i Meant

    [tex] PV^{\frac{2+f}{f}} [/tex] is the answer
     
  4. May 15, 2010 #3
    Ok I mucked up the question

    given
    [tex] VT^{\frac{f}{2} [/tex] = constant
    [tex] T = PV [/tex]

    -------

    I get [tex] V (PV)^{\frac{f}{2}} [/tex]
    which is the same as
    [tex] V P^{\frac{f}{2}}V^{\frac{f}{2}} [/tex]
    which is the same as
    [tex] P^{\frac{f}{2}} V^{\frac{2+f}{2}} [/tex]

    Now how do i simplify it from here?

    answer is [tex] PV^{\frac{2+f}{f}} [/tex]
     
  5. May 15, 2010 #4

    Mark44

    Staff: Mentor

    You're given two equations, so any subsequent work should be an equation. Are you trying to solve for one of the variables?

    Your second equation seems to be related to the ideal gas law, PV = nRT.
     
  6. May 15, 2010 #5
    Yeah, I'm trying to understand how to get from

    [tex]ViTi^{\frac{f}{2}}= VfTf^{\frac{f}{2}}== VT^{\frac{f}{2}}[/tex]

    To the equivalent equation

    [tex]PV^{\frac{2+f}{f}} [/tex]
    using PV=nRT
    I just can't seem to figure it out though
     
  7. May 16, 2010 #6

    Mark44

    Staff: Mentor

    This is not an equation. An equation states that two expressions have the same value.
    What are i and f? My guess is that you are interpreting things incorrectly. For example could what you are writing as Vi be the initial volume? If so, it would be written as Vi. And what you are writing as Vf might be the final volume, Vf. Same with Ti and Tf, which could represent the initial and final temperatures.
     
    Last edited: May 16, 2010
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