a$)$ The pasteurisation of milk occurs according to the first order reaction $AR,$ with $-r_A$

$=0\mathrm{.}1C_{A}mo\frac{l}{?}$ litre.s where $k=0\mathrm{.}1mi{n}^{-1}$ at a temperature of $60$deg C$.$ For a $5000L$

stirred batch vessel and a starting concentration $C_{A0}$ of $0\mathrm{.}1mo\frac{l}{L},$ using Eulers

method with an appropriate time step, calculate the time needed for $99\mathrm{.}9\%$

conversion.

b$)$ This reaction is known to have an activation energy of $300k\frac{J}{m}ol.$ Calculate the rate

constant $k$ at $70$degC.

c$)$ Calculate the time needed for $99\mathrm{.}9\%$ conversion at $70$degC.