If the heat capacity of a substance is correctly represented by an equation of the form, cp = a + bt + ct^2show that the error resulting when h is assumed to equal cp evaluated at the arithmetic mean of the initial and final temperatures is c(t2-t1)^2/12

A5 mole sample of liquid acetone is converted to a gas at 75.0°c. if 628 j are required to raise the temperature of the liquid to the boiling point, 15.600 kj are required to evaporate the liquid, and 712 j are required to raise the final temperature to 75.0°c, what is the total energy required for the conversion?