Heat capacity C is the amount of heat required to raise the temperature of a given

Heat capacity C_ν is the amount of heat required to raise the temperature of a given mass of gas with constant volume by 1°C, measured in units of cal / deg-mol (calories per degree gram molecular weight). The heat capacity of oxygen depends on its temperature T and satisfies the formula

Use Simpson’s Rule to find the average value of C_ν and the temperature at which it is attained for 20° ≤ T ≤ 675°C.

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C₂ = 8.27+ 105 (26T- 1.877²).