In a chemical plant, Tank B is used as a mixer for two fluids.

At the beginning of the process $($before mixing starts$)$ the pressure gauge reads $14\mathrm{.}29$ kPa for a

height h $=1\mathrm{.}75$m due to a force F $=200$N applied by the piston of $0\mathrm{.}5$m radius. The multi fluid

manometer will read hp $=2\mathrm{.}83$m$,$ hk$=2$m; and $0\mathrm{.}6$mHg differential reading and LG $=1\mathrm{.}5$m$.$ This

represents the difference in pressure to Tank A that contains gasoline up to h$1=8$m

a$)$ Write an expression for the pressure variation in the system.

b$)$ Find the absolute air pressure in Tank A$.$

c$)$ Find the new mercury differential reading if a force F $=250$N is applied to the piston. New

gauge reading is $14\mathrm{.}277$ kPa with no significant change to the height h due to the size of

the tank.