A batch reactor contains \(5000 \mathrm{~kg}\) of reacting liquid. A calorimetric study has shown that the maximum self-heat rate for the reaction is \(20^{\circ} \mathrm{C}\) per minute. If the reactor is adiabatic and all the heat generated by the reaction is used to vaporize the liquid, then calculate:

a. The maximum energy generation rate, in \(\mathrm{kJ} / \mathrm{s}\), for the liquid reaction mass.

b. The maximum vaporization rate, in \(\mathrm{kg} / \mathrm{s}\).

The answer from part \(b\) would be useful for sizing a relief device.

Additional data that may be useful:

Heat capacity of liquid: \(2 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}\)

Heat of vaporization of liquid: \(250 \mathrm{~kJ} / \mathrm{kg}\)

Molecular weight of vapor, \(M: 80\)

Vapor acts as an ideal tri-atomic gas.