Ideal gas: Heat capacity: Difference between revisions

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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

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 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:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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