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kupik [55]
2 years ago
8

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 a

tm to the surface, with a pressure of 1.0 atm. What is the volume of the bubble at the surface
Chemistry
1 answer:
Lina20 [59]2 years ago
3 0

As the scuba diver ascends rapidly to the surface at the given pressure, the volume of the nitrogen bubble at the surface becomes 0.021mL.

Given the data in the question;

  • Initial volume; V_1 = 0.005mL
  • Initial pressure; P_1 = 4.1atm
  • Final pressure; P_2 = 1.0atm\\

Final volume; V_2 = \ ?

<h3>Boyle's law</h3>

Boyle's law states that the volume V of a given quantity of gas is inversely proportional to its pressure P as long as temperature remains constant.

Boyle's law is expressed as;

P_1V_1 = P_2V_2

Where P_1 is Initial Pressure, V_1 Initial volume, P_1 is Final Pressure and P_2 is Final volume.

P_1V_1 = P_2V_2\\\\V_2 = \frac{P_1V_1}{P_2} \\\\V_2 = \frac{4.1atm \ *\ 5.0*10^{-6}L}{1.0atm}\\ \\V_2 = \frac{4.1 \ *\ 5.0*10^{-6}L}{1.0}\\\\V_2 = 2.05*10^{-6}L\\\\V_2 = 0.021mL

Therefore, as the scuba diver ascends rapidly to the surface at the given pressure, the volume of the nitrogen bubble at the surface becomes 0.021mL.

Learn more about Boyle's law: brainly.com/question/1437490

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