A pulse tracer input to a continuous flow reactor is used to characterize the hydraulics of the reactor. The reactor has a flow of $35$ gallons per minute and a volume of $840$ gallons. The pulse tracer effluent data are presented in the table below. The tracer mass input was $26\mathrm{.}5$ grams.

Pulse Tracer Effluent Data

$\begin{array}{cc}\text{T}\text{i}\text{m}\text{e}(min)& \text{E}\text{x}\text{i}\text{t}\text{T}\text{r}\text{a}\text{c}\text{e}\text{r}\text{C}\text{o}\text{n}\text{c}\text{.}(m\frac{g}{L})\\ 0& 0\\ 5& 0\mathrm{.}8\\ 10& 5\mathrm{.}5\\ 12& 6\mathrm{.}5\\ 14& 7\mathrm{.}1\\ 15& 7\mathrm{.}0\\ 17\mathrm{.}5& 6\mathrm{.}6\\ 20& 6\mathrm{.}2\\ 22& 5\mathrm{.}6\\ 25& 4\mathrm{.}9\\ 27& 4\mathrm{.}3\\ 30& 3\mathrm{.}5\\ 32\mathrm{.}5& 3\mathrm{.}3\\ 35& 2\mathrm{.}4\\ 42& 1\mathrm{.}2\\ 50& 0\mathrm{.}5\\ 60& 0\mathrm{.}2\\ 70& 0\mathrm{.}1\\ 80& 0\mathrm{.}05\\ 90& 0\end{array}$

a$.$ Plot the concentration $(Cp)$ versus time curve

b$.$ Plot the E curve

c$.$ Plot the F curve, Determine $T_{10}($the time when $10\%$ of the tracer exits the reactor$)$

d$.$ Determine the mean residence time from the tracer and compare to the theoretical residence time.