Randall D. Knight — The Micro/Macro Connection: Problem Problem_70

The molar heat capacities of gases are not perfectly constant, as we’ve assumed, but increase slowly with temperature. An empirical formula for the molar heat capacity at constant volume of nitrogen is \(C_V = (20.6 - 1.6 \times 10^{-3}T + 8.0 \times 10^{-6}T^2) \text{ J/mol K}\), where \(T\) is in K. What is the entropy increase of the gas if 5.0 g of nitrogen in a rigid container are slowly heated from 300°C to 500°C?