Problem $3$

Consider a farm, $1000$ m square, on a day with high atmospheric pressure of $103k\frac{N}{m^2}.$ Below this farm is an aquifer containing $5$ million cubic meters of water. Over the next few days, a lowpressure system rolls in and the atmospheric pressure drops to $99k\frac{N}{m^2}.$ At the prevailing temperature of $10C,$ water has a bulk modulus of $E=2\mathrm{.}10{10}^{6}k\frac{N}{m^2}.$

a$)$ Draw a sketch of this situation.

b$)$ When the pressure drops, will the water compress or expand?

c$)$ What will be the change in the volume of water in the aquifer in $m^3?$