QUESTION $2$: First Law for steady flow $(25$ Marks$)$

$($a$)$ Given the equation representing the First Law $($Conservation of Energy$)$ for steady flow,

$Q^{}+W^{}=m^{}[h_2-h_1+C_2^2-C_1^2+g(z_2-z_1)]$

explain, with the aid of a detailed diagram, the terms in the equation. Why is $C$ squared? Why is Z multiplied by g $?$ Why is enthalpy $($ h $)$ used, rather than internal energy $($ u $)?$ Why are the terms on the left equal to those on the right?

$(13$ Marks$)$

$($b$)$ A compressor $($with steady flow$)$ takes in $20C$ air at atmospheric pressure and raises the pressure to $\frac{8}{B}ar(\frac{?}{\text{A}\text{B}\text{S}}).$ Data for the process is given below:

$\backslash$table$[[$Compressor$,\backslash$table$[[$Area$],[(m^2)$