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Coefficient of volume expansion of gas

  • Thread starter Jahnavi
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  • #1
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Homework Statement


coefficient.jpg


Homework Equations




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 ?
 

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Answers and Replies

  • #2
mjc123
Science Advisor
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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.
 
  • #3
848
102
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.
Thanks !
 

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