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I need help understanding a concept in thermodynamics.

  1. What is the relationship between temperature and mean energy?

  2. What is the relationship between temperature and heat capacity?

What I know:

$$B=\frac{1}{kT}$$, where $B$ is the temperature parameter.

$$dB=\frac{-dT}{kT^2}$$

$$\bar E = -\frac{d(lnZ)}{dB}$$, where $\bar E$ is the average energy of the system.

I related the 2 values using the 2 equations and simplified:

$$\bar E \sim -T^2 $$

Was this on the right track? Also, can the same thing be done for heat capacity?

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  • $\begingroup$ your derivation is wrong..see the rule for multiplication of partial derivatives.. $\endgroup$ – Bruce Lee Feb 8 '16 at 4:43
  • $\begingroup$ @BruceLee I edited my question. $\endgroup$ – whatwhatwhat Feb 8 '16 at 17:29

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