The hot and cold composite curves of a process at a pre$-$set $T_{\text{m}\text{i}\text{n}}$ are given on a T$-$Q graph below. Determine from the graph:

a$)$ Pinch temperature

b$)$ Value of $T_{\text{m}\text{i}\text{n}}$

c$)$ Is the overall process endothermic or exothermic?

d$)$ Energy target

e$)$ Total amount of heat that needs to be transferred in the process $($under ideal situation$)$

f$)$ If a lower $T_{\text{m}\text{i}\text{n}}$ is feasible for the process, which leads to a reduction of hot utility by $35kW,$ what would be the new energy target from the pinch analysis?

$g$ if there is only one cold stream requiring to be heated in the temperature range of $20$ to $50C.$ What is the heat capacity of that stream given its mass flow being $1k\frac{g}{s}?$