$($b$)$ From Q$\mathrm{.}3($a$)$ it is evident that, when $$

$f(P),$ an $n^{th}$ order density $()$ variation

results in a pressure variation of order

$(n+1).$ To help you understand, a

sample demonstration of density and

pressure variation along vertical height of

a chemical reactor is shown in the figure

at right, where a reaction causes fluid

density to vary in different ways in

different reactor chambers $(A,B,C,D,E).$

$($Carefully check out the order of $$ and $P$

variations$).$ Here, ${}_A={}_E>{}_C,$ and $$

varies linearly in both chamber $B$ and $D.$

$($iv$)$ If the reactor is used for another reaction that causes the density of the fluid inside the reactor

chambers to vary in a different way $($as shown in the figure below$),$ then complete the pressure

variation plot by clearly showing the orders of pressure variation in each reactor chamber. Assume

pressure at the top of chamber $E$ as zero. $[10]$

Hint: Start from top$-$left corner of the plot, remember pressure never decreases as we move down

along $-$ ve $z$ direction.