1. The problem statement, all variables and given/known data The coefficient of the thermal expansion of ethanol is given by: [itex]\alpha[/itex] (per degree Celsius) = 1.0414 x 10^(-3) + 1.5672 x 10^(-6) t + 5.148 X 10^(-8) t^2 Calculate the percentage change in volume when ethanol is heated from 0 to 100 (celsius) at constant pressure. 2. Relevant equations alpha = (1/V)(partial(V)/(partial(T))(at constant P) 3. The attempt at a solution I simply rearranged the above equation and integrated with limits T1 and T2: delta(V) = (alpha/2)(100)^2 = 5.123..something but the answer is 13.8 % Can someone also comment on the units of alpha? Its confusing because the units t and t^2 are included. From a mathematical point of view, we can't just add them..( or thats what i think at least).