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Homework Help: Coefficient of volume expansion of gas

  1. May 18, 2018 #1
    1. The problem statement, all variables and given/known data
    coefficient.jpg

    2. Relevant equations


    3. The attempt at a solution

    Coefficient of volume expansion γ = ∆V/V∆T

    VT2 = constant

    Differentiating we get ,

    T2∆V + 2VT∆T = 0

    ∆V/V∆T = -2/T

    So , option 2) looks right . Is that correct ?

    How do I interpret the answer ? Does that mean the coefficient is a variable and is inversely proportional to temperature ? What does negative sign signify ?
     
  2. jcsd
  3. May 18, 2018 #2

    mjc123

    User Avatar
    Science Advisor

    Coefficient is negative as volume always decreases with increasing temperature in this scenario. Answer 2 is correct for the magnitude, and yes, it means the coefficient is variable and inversely proportional to temperature.
     
  4. May 18, 2018 #3
    Thanks !
     
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