Ethyl acetate, an organic solvent immiscible in water, is utilized for the extraction of lactic acid from water. Illustrated in Figure A$,$ the extraction process

involves adding one volume $(50$ mL$)$ of ethyl acetate to every one volume $(50$ mL$)$ of water containing lactic acid, followed by mixing for $60$ minutes to

facilitate the extraction of lactic acid. Subsequently, the solution mixture is transferred to a separation funnel $($Figure B$)$ and rested for phase separation. Given

the density of ethyl acetate as $902$ kg$/$m$^3$ and the density of water as $1000$ kg$/$m$^3,$ along with atmospheric pressure at $101325$ Pa and an acceleration due to

gravity of $9\mathrm{.}81$ m$/$s$^2,$ calculate the following quantities and report the values both in Pa and kPa:

Q$1($a$)$: Find the gauge pressure at the top of the ethyl acetate layer $($at point A$).[8$ marks$]$

Q$1($b$)$: Calculate the gauge pressure at the interface between ethyl acetate and water $($at point B$).[8$ marks$]$

Q$1($c$)$: Find both the total absolute pressure and gauge pressure at the bottom $($at point C$).[4$ marks$]$