Q$1.$ A pulse tracer test was conducted on a reactor. The results are in the table below.

The reaction in this reactor is $A(aq)2B(aq).$ It is first order with respect to A with a rate

constant of $0\mathrm{.}0008s^{-1}.$ The feed to the reactor has a concentration of A of $5mo\frac{l}{L}.$

Use numerical methods $($i$.$e$.$ trapezoid rule$)$ for any integration required. Do not fit equations

to the data. Normal working required for equations used in spreadsheets. All parts can be

answered using a single spreadsheet. Don't create a new one for each part. Spreadsheet must

be presented and labelled clearly so it can understood by tutors.

a$)$ Plot the residence time distribution function, $E(t),$ over the full range of time for the test.

The plot requires all the normal elements of a plot.

b$)$ What is the mean residence time $($in min $)?$

c$)$ What is the conversion of A for the reactor?

d$)$ What is the conversion for a PFR and CSTR with the same residence time? Does the

answer in part c$)$ make sense in comparison to these results?