Consider a liquid in a container which is open to the atmosphere. We can assume that its temperature does not change with depth. a} Show that a vertical column ofthe liquid with crosssectional area A has a weight ofphAg at depth h, where pis the liquids density and gis the acceleration due to gravity. Hence calculate the additional pressure of the liquid at depth I: over and above the air pressure at the surface of the liquid. (Think about forces and accelerations. Is the column ofwater accelerating?} o} A bubble of gas in the liquid rises to the surface from a depth of h. Show that the fractional increase in the volume of the bubble is pgh/Ps where P, is the atmospheric pressure at the surface of the liquid. You should assume the bubble obeys the ideal gas law