# 2-12 - 2-12 The ideal gas heat capacity can be expressed as...

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2-12. The ideal gas heat capacity can be expressed as a power series in terms of temperature according to 23 12 3 4 5 p CA A T A T A T A = ++++ 4 T In this dimensionally incorrect equation, the units of C are joule/(mol p o K), and the units of temperature are degrees Kelvin. For chlorine the values of the coefficients are: , , 1 22.85 A = 2 0.06543 A = 4 3 1.2517 10 A =− × , 7 4 1.1484 10 A , and . What are the units of the coefficients? Find the values of the coefficients to compute the heat capacity of chlorine in cal/gr C, using temperature in degrees Rankine. 11 5 4.0946 10 A × 2-12. To obtain a dimensionally correct form for the heat capacity, each term in the representation must have the same units. Given the molecular mass of chlorine, , and the conversion factors from Table 2-4, 1 and 70.91 g/mol MW = cal 4.186 joule = () 1 K 9 5 R = , we can follow the procedure outlined in the previous problem to obtain 1 joule cal mol K cal 22.85 0.07698 mol K 4.186 joule 70.91 g C g C A  × =   -4 2 2 joule cal mol 5 K cal 0.06543 1.225 10 mol K 4.186 joule 70.91 g 9 C g C R A × =
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