Question

Diving The world record for diving without supplemental air tanks (breath-hold diving) is about $125 \mathrm{m}$ a depth at which the pressure is about 12.5 atm. If a diver's lungs have a volume of $6 \mathrm{L}$ at the surface of the water, what is their volume at a depth of $125 \mathrm{m} ?$

Name: Problem 52, Chapter 6: Chemistry The Science in Context
Uploaded: 2020-05-18T13:08:03-08:00
Duration: 1 min 9 s
Channel: Rebecca Wallace
Description: Diving The world record for diving without supplemental air tanks (breath-hold diving) is about 125 m a depth at which the pressure is about 12.5 atm. If a diver's lungs have a volume of 6 L at the surface of the water, what is their volume at a depth of 125 m ?

   Diving The world record for diving without supplemental air tanks (breath-hold diving) is about $125 \mathrm{m}$ a depth at which the pressure is about 12.5 atm. If a diver's lungs have a volume of $6 \mathrm{L}$ at the surface of the water, what is their volume at a depth of $125 \mathrm{m} ?$

Chemistry The Science in Context

Thomas R. Gilbert 5th Edition

Chapter 6, Problem 52

Instant Answer

Solved by Expert Rebecca Wallace

05/18/2020

Step 1

5 atmospheres. We are asked to find the final volume (V2). We can use Boyle's law to solve this problem, which states that the product of the pressure and volume of a gas is constant as long as the temperature and the amount of gas are kept constant. Show more…

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Diving The world record for diving without supplemental air tanks (breath-hold diving) is about $125 \mathrm{m}$ a depth at which the pressure is about 12.5 atm. If a diver's lungs have a volume of $6 \mathrm{L}$ at the surface of the water, what is their volume at a depth of $125 \mathrm{m} ?$

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Key Concepts

Boyle's Law

Boyle's Law is a fundamental principle in physics and chemistry which states that, for a given mass of an ideal gas kept at constant temperature, the pressure exerted by the gas is inversely proportional to its volume. This relationship (P1V1 = P2V2) is used to predict how the volume of a gas will change as the pressure changes, which is crucial in understanding gas behavior under different environmental conditions.

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity. It increases linearly with depth because of the weight of the overlying fluid column. This concept is particularly important in scenarios involving submersion, as it explains how pressure increases as a diver goes deeper underwater, thereby affecting the volume of gases contained in objects such as the human lungs.

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