Difference between revisions of "Ideal gas: Heat capacity"

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:<math>C_p - C_V = \left.\frac{\partial V}{\partial T}\right\vert_p \left(p + \left.\frac{\partial E}{\partial V}\right\vert_T \right) </math>
+
:<math>C_p - C_V = \left.\frac{\partial V}{\partial T}\right\vert_p \left(p + \left.\frac{\partial U}{\partial V}\right\vert_T \right) </math>
 +
 
 +
for an [[ideal gas]] this becomes:
 +
 
 
:<math>\left.C_p -C_V \right.=R</math>
 
:<math>\left.C_p -C_V \right.=R</math>
 
==References==
 
==References==

Revision as of 13:28, 21 June 2007

C_p - C_V = \left.\frac{\partial V}{\partial T}\right\vert_p \left(p + \left.\frac{\partial U}{\partial V}\right\vert_T \right)

for an ideal gas this becomes:

\left.C_p -C_V \right.=R

References

  1. Donald A. McQuarrie "Statistical Mechanics" (1976) Eq. 1-1
  2. Landau and Lifshitz Course of Theoretical Physics Volume 5 Statistical Physics 3rd Edition Part 1 Equation 42.11