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In: Chemistry

The enthalpy of a simple (and not particularly realistic) model system is given by H =...

The enthalpy of a simple (and not particularly realistic) model system is given by

H = c1 TP + c2T2 /2

where c1 and c2 are constants.

1. Evaluate the partial derivatives (∂H/∂T)p and (∂H / ∂P)t . Demonstrate that these partial derivatives satisfy the appropriate Maxwell relations and also determine cP.

2. Construct the inexact differentials (dH)T, (dH)P, and the exact differential, dH .

3. Integrate these three differential quantities along the following two paths that connect the same two equilibrium states: (T1, P1) to (T2, P2).

Path 1: The temperature is first increased to T2 at constant pressure, P1. The pressure is then increased to P2 at constant temperature, T2.

Path 2: The pressure is first increased to P2 at constant temperature, T1. The temperature is then increased to T2 at constant pressure, P2.

Compare the integrated values for (ΔH)T, (ΔH)P, and ΔH obtained along the two paths.

Solutions

Expert Solution

queen_honey_blossom answered 2 years ago
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