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7.15. For a single-phase, single-component system, consider the following list of intensive variables: T, P, u, s S/N, and v V/N. Write down the complete list of eachpair of these variables that uniquely specifies the state of the system.

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This problem is (7.15) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

7.15. For a single-phase, single-component system, consider the following list of inten
sive variables: T, P, u, s S/N, and v V/N. Write down the complete list of each
pair of these variables that uniquely specifies the state of the system.
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7.15. For a single-phase, single-component system, consider the following list of inten sive variables: T, P, u, s S/N, and v V/N. Write down the complete list of each pair of these variables that uniquely specifies the state of the system.

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Step 1

As the system consists of a single component (C = 1) and in single phase (P = 1)...

P+F C+2
1+F 1+2
F 2
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P+F C+2 1+F 1+2 F 2

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