An air bubble at the bottom of lake with temperature 7 0C and pressure of 3.2 atm has a radius of 2.5 cm. It rises to the surface where the temperature is 25 oC and atmospheric pressure is 1 atm. What is the volume of the bubble at the surface? Assume perfect gases. V=(4/3)πr3.

The size (radius) of an oxygen molecule is about 2.0 ×10−10m. make a rough estimate of the pressure at which the finite volume of the molecules should cause noticeable deviations from ideal-gas behavior at ordinary temperatures (t= 300k ). assume that deviatons would be noticeable when volume of the gas per molecule equals the volume of the molecule itself.