2-12. The ideal gas heat capacity can be expressed as a power series in terms of temperature according to 2312345pCAATATATA=++++4TIn this dimensionally incorrect equation, the units of Care joule/(mol poK), and the units of temperature are degrees Kelvin. For chlorine the values of the coefficients are: , , 122.85A=20.06543A=431.251710A−=−×, 741.148410A−=×, 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. 1154.094610A−×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/molMW=cal4.186 joule=()1 K9 5 R=, we can follow the procedure outlined in the previous problem to obtain 1joulecalmolKcal22.85 0.07698 mol K4.186 joule70.91 gCg CA×=-422joulecalmol5 Kcal0.06543 1.225 10mol K4.186 joule70.91 g9 Cg C RA×=
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