The molar heat capacity CP,m of SO2 (g) is described by the following equation over the range: 300 K < T < 17900 K
CP,m / R = 3.093 + 6.967 * 10^-3 (T / K) - 45.81 * 10^-7 (T^2 / K^2) + 1.035 * 10^-9 (T^3 / K^3)
In this equation, T is the absolute temperature in kelvin. The ratios ensure that CP,m has the correct dimension. Assuming ideal gas behavior, calculate q, w, ΔU, and ΔH if 1.50 moles of SO2 (g) is heated from 22.5°C to 1140°C at a constant pressure of 1 bar. Explain the sign of w.
PLEASE SHOW ALL STEPS OF THE INTEGRATIONS!!!!