# Problem: A scuba diver creates a spherical bubble with a radius of 3.5 cm at a depth of 30.0 m where the total pressure (including atmospheric pressure) is 4.00 atm.What is the radius of the bubble when it reaches the surface of the water? (Assume atmospheric pressure to be 1.00 atm and the temperature to be 298 K.)

###### FREE Expert Solution

We’re being asked to determine the radius of the bubble when it reaches the surface of the water at 1.00 atm and 298 K if the radius of the spherical bubble at a depth of 30.0 m and a total pressure of 4.00 atm is 3.5 cm.

Recall that the ideal gas law is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The pressure and volume of a gas are related to the number of moles, gas constant and temperatureThe value nRT is constant(assuming T = 298 K at a depth of 30.0 m)

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###### Problem Details

A scuba diver creates a spherical bubble with a radius of 3.5 cm at a depth of 30.0 m where the total pressure (including atmospheric pressure) is 4.00 atm.

What is the radius of the bubble when it reaches the surface of the water? (Assume atmospheric pressure to be 1.00 atm and the temperature to be 298 K.)