Question $1[20$ marks$]$

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 $(50mL)$ of ethyl acetate to every one volume $(50mL)$ 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 $902k\frac{g}{m^3}$ and the density of water as $1000k\frac{g}{m^3},$ along with atmospheric pressure at $101325Pa$ and an acceleration due to

gravity of $9\mathrm{.}81\frac{m}{s^2},$ 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$]$