7.10. For a single-component system, classify the following as fundamental, not funda-incomplete (meaning that not enough information is provided tomental, orcompletely specify the function):(а) Н(Т, Р, N)(b) E(S, T, N)(c) A(T, V, N)

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This problem is (7.10) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

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Step 1

Fundamental functions are those functions which are formed with the help of intensive variables (independent of mass).

And derived functions are those functions which are formed with the help of fundamental functions.

Step 2

(a). Enthalpy is the sum of internal energy and work (flow work)

Where N= 1 (for a single-component system)

T is tempreture

P is pressure

Function is calculated as follows with the help pf partial derivative

Step 3

From the fundamental equation

Enthalpy is function of entropy (S) and pressure (P) not temperature (T) and pressure

dH is given as follows:

Where S is entropy

&nbs...

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