A vertical tube that is closed at the upper end and open at the lower end contains an air pocket. The open end of the tube is under the water of a lake. When the lower end of the tube is just under the surface of the lake, where the temperature is 33C and the pressure is 1.0×10^5Pa , the air pocket occupies a volume of 550 cm^3 . Suppose now that tube is lowered in the lake, as in the figure, and the lower end of the tube is at a depth of 73 m , where the temperature is 9.0C .
What is the volume of the air pocket under these conditions?