$(5$p$)$ Q$2.$ For $n$ components, $n$ mass balance equations, the only possibility to solve is $n$ component mass balance equations. Is this $...?$

$($a$)$ True

$($b$)$ False

$(5$p$)$ Q$3.$

Considering the above sketch if the rate of input$/$outlet terms is given as: ${}_A$Flux.$dA$ Then:

$($a$)$ if Flux is position$-$dependent

$($b$)$ if flux is constant

Note: $A$ is the area perpendicular to the direction of flux.

$(5$p$)$ Q$4.$ grad of a function must be zero in order to attain:

$($a$)$ Steady$-$state condition

$($b$)$ Uniform condition

$($c$)$ Equilibrium condition

$($d$)$ None of the above

$20\mathrm{.}06\mathrm{.}2023$

$(5$p$)$ Q$5.$ Consider these design equations for a mixing process:

$A+B=C$

$K=\frac{B}{A}$

where $A-100$;$C-200$;$K-4$

The degree of freedom for this system is:

$($a$)$ DoF$<mn\; id="EditorElement\_8836915">0</mn>$

$($b$)$ DoF $-0$

$($c$)$ DoF$>0$

$(5$p$)$ Q$6.$ Divergence grad$=\frac{de{l}^2}{del{x}^2}+\frac{de{l}^2}{del{y}^2}+\frac{de{l}^2}{del{z}^2}$

Look at the above expression carefully. The divergence of a gradient can be best described as: Answer:

$($a$)$ Unity

$($b$)$ Curl

$($c$)$ Laplacian

$($d$)$ None of the above