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Fundamental Property Relations: Interactive Simulation

Simulation: Maxwell Simulation

This simulation shows how partial derivatives are related to physical properties and it shows how Maxwell relations can be derived from exact differentials. 

Try to answer these questions before determining the answers with the simulation. We suggest that you write down the reasons for your answers.

  1. Given that the first law for a reversible process in a closed system is \(dU = TdS – PdV\), what physical property corresponds to \( \left( \frac{\partial U}{\partial S} \right)_V\)?
  2. The first law for a reversible process in a closed system and the defintion of enthalpy can be combined to yield \(dH = TdS + VdP\) . What physical property corresponds to \( \left( \frac{\partial H}{\partial S} \right) _P\) ?