As Shown in the Figure, an Air Pocket at the Top

Short Answer

As shown in the figure, an air pocket at the top of a vertical tube, closed at the upper end and open at the lower, occupies a volume of $560 \mathrm {~cm} ^ { 3 }$ at the surface of a lake where the air pressure is $1.0 \times 10 ^ { 5 } \mathrm {~Pa}$ and the temperature is $37 ^ { \circ } \mathrm { C }$ What is the volume of the air in the pocket if the tube is taken to a depth of 56 meters, where the temperature is $7 ^ { \circ } \mathrm { C } ?$ Assume that none of the air escapes from the tube. The density of the water in the lake is 1000 $\mathrm { kg } / \mathrm { m } ^ { 3 }$