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.)

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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:


PV=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.)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Ideal Gas Law Derivations concept. You can view video lessons to learn The Ideal Gas Law Derivations. Or if you need more The Ideal Gas Law Derivations practice, you can also practice The Ideal Gas Law Derivations practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Hauck Jr's class at UNO.