A commonly used equation in calorimetry analysis to determine the temperature at the maximum rate is

given by

Tmax$=$Ea$2$nRg$[1+4$nRgTFEa$1](8-37)$

Derive this equation from Equation $8-21.$ Use this equation to calculate Tmax

for the ethanol acetic anhydride

system of Examples $8-3$ and $8-4.$ Compare to the experimental value.