A nitrogen bubble with a volume of 0.0050 mL forms in the joint of a scuba diver as she ascends rapidly from a pressure of 4.1 atm to the surface, with a pressure of 1.0 atm.What is the volume of the bubble at the surface?
A) 820 mL
B) 4.1 mL
C) 0.0012 mL
D) 0.021 mL
E) 0.0050 mL

Question

Quizplus · Accepted Answer

The volume of the nitrogen bubble at the surface can be calculated using Boyle's Law, which states that the pressure of a gas times its volume is constant at constant temperature (P1V1 = P2V2). Given the initial pressure (P1 = 4.1 atm) and volume (V1 = 0.0050 mL) and the final pressure (P2 = 1.0 atm), we can solve for the final volume (V2). Rearranging the equation gives V2 = (P1V1)/P2 = (4.1 atm * 0.0050 mL) / 1.0 atm = 0.0205 mL, which rounds to 0.021 mL.

A Nitrogen Bubble with a Volume of 0