A diver dives from a $3$m board into a $4$ m deep pool. If the volume of her lungs is

initially $4\mathrm{.}2$ litres, and she reaches the bottom of the pool, what is the volume and

temperature of the air in her lungs at that point? Assume that the process occurs

adiabatically and that the initial temperature and pressure are $20$C and $105$ Pa$.$

Recall that the pressure at depth h in a fluid of density is gh $($in addition to

atmospheric pressure$).$ For air at room temperature: air $=7/5.$