Water at $22C$ enters a $2m^3$ tank at a rate of $6k\frac{g}{s}$ and is withdrawn at a rate of $3k\frac{g}{s}.$ The tank is

initially half full.

$($a$)$ Draw a block flow diagram for the process. Is this process continuous, batch or semi$-$batch?

$($b$)$ Is it transient or steady state?

$($c$)$ What is the initial mass of water in the tank?

$($d$)$ What is the volumetric flow rate of the stream leaving the tank?

$($e$)$ Write the overall mass balance for the process. Simplify the equation and indicate assumptions

if necessary.

$($f$)$ How long will the tank take to overflow?