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State and explain Maxwell relations.

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State and explain Maxwell relations.

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written 7.8 years ago by |

The equations that relate the partial derivatives of properties P, v, T, and s of a simple compressible system to each other are called the Maxwell relations.

They are obtained from the four Gibbs equations by exploiting the exactness of the differentials of thermodynamic properties.

The Maxwell relations are as follows:

$$(\frac{dT}{dv})_s = -(\frac{∂P}{∂s})_v$$ $$(\frac{dT}{dP})_s = (\frac{∂v}{∂s})_P$$ $$(\frac{∂s}{∂v})_T = (\frac{∂P}{∂T})_v$$ $$(\frac{∂s}{∂P})_T = -(\frac{∂v}{∂T})_P$$

- They are extremely valuable in thermodynamics because they provide a means of determining the change in entropy, which cannot be measured directly, by simply measuring the changes in properties P, v, and T.

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