Experimental measurements of heat capacities are often

Chapter 3, Problem 31P

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QUESTION:

Problem 31P

Experimental measurements of heat capacities are often represented in reference works as empirical formulas. For graphite, a formula that works well over a fairly wide range of temperatures is (for one mole)

where a = 16.86 J/K, b = 4.77 × 10–3 J/K2, and c = 8.54 × 105 J.K. Suppose, then, that a mole of graphite is heated at constant pressure from 298 K to 500 K. Calculate the increase in its entropy during this process. Add on the tabulated value of S(298 K) (from the back of this book) to obtain S(500 K).

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QUESTION:

Problem 31P

Experimental measurements of heat capacities are often represented in reference works as empirical formulas. For graphite, a formula that works well over a fairly wide range of temperatures is (for one mole)

where a = 16.86 J/K, b = 4.77 × 10–3 J/K2, and c = 8.54 × 105 J.K. Suppose, then, that a mole of graphite is heated at constant pressure from 298 K to 500 K. Calculate the increase in its entropy during this process. Add on the tabulated value of S(298 K) (from the back of this book) to obtain S(500 K).

ANSWER:

Step 1 of 3

The change in the entropy of process at constant pressure is,

                                                               

For .

                                                       

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