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HOS-EVEN31-04 · Lesson 2 · 14 clock hours · theory

Dive Physics and Physiology Foundations

Objective. Students calculate the effects of pressure on gas volume and partial pressures using Boyle's Law and Dalton's Law, and explain the physiological consequences of pressure change relevant to diver safety.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a certified food-safety manager and industry professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Why Physics Matters Underwater

Water is about 800 times denser than air. As a diver descends, the weight of the water column above adds pressure rapidly. At the surface, a person experiences 1 atmosphere of pressure (1 atm, also written 14.7 psi or 1 bar). Every 33 feet of seawater (fsw) adds another atmosphere. So at 33 fsw the total (absolute) pressure is 2 atm; at 66 fsw it is 3 atm; at 99 fsw it is 4 atm. Understanding what that pressure does to gases inside and around the body is the foundation of diver safety.

Boyle's Law: Pressure and Volume

Boyle's Law states that, at constant temperature, the volume of a fixed amount of gas varies inversely with the absolute pressure applied to it:

P₁ × V₁ = P₂ × V₂

In plain language: double the pressure, halve the volume. Halve the pressure, double the volume.

For divers, the most important gas space is the lungs. A diver who takes a full breath at the surface (roughly 6 liters) and then descends to 33 fsw (2 atm) without exhaling would have only 3 liters of lung volume—the air is compressed. That compression is harmless as long as the diver keeps breathing normally from the regulator, which continuously delivers air at ambient pressure.

The danger runs the other way on ascent. If a diver holds a full breath and rises, that trapped air expands. Expanding gas in the lungs can over-pressurize and rupture lung tissue—a serious injury called pulmonary barotrauma. This is why the first rule of scuba is: never hold your breath; always breathe continuously.

Boyle's Law also explains squeeze injuries in ears, sinuses, and mask during descent when a diver fails to equalize, and it explains why a buoyancy compensator (BCD) must be vented during ascent.

Dalton's Law: Partial Pressures

Dalton's Law states that the total pressure of a gas mixture equals the sum of the partial pressures of each component gas:

P_total = P_gas1 + P_gas2 + P_gas3 …

Dry air is approximately 21% oxygen (O₂) and 79% nitrogen (N₂). At the surface (1 atm), the partial pressure of oxygen (PO₂) is 0.21 atm and the partial pressure of nitrogen (PN₂) is 0.79 atm. At 66 fsw (3 atm total), PO₂ rises to 0.63 atm and PN₂ rises to 2.37 atm. The body responds to partial pressures, not percentages.

This matters for two major physiological effects:

Decompression Sickness (DCS)

As ambient pressure rises, nitrogen dissolves into blood and tissues according to Henry's Law (the amount of gas that dissolves in a liquid is proportional to its partial pressure). Tissues absorb nitrogen steadily during a dive. If a diver ascends too fast, dissolved nitrogen can come out of solution as bubbles—much like carbonation fizzing when a soda bottle is opened quickly. These bubbles cause decompression sickness (DCS).

Type I DCS primarily affects the skin (rash, mottling) and musculoskeletal system (joint and limb pain, sometimes called "the bends").

Type II DCS is more serious and involves the spinal cord, brain, inner ear, or lungs. Symptoms include neurological deficits, paralysis, extreme vertigo, or difficulty breathing.

Common DCS signs and symptoms to recognize include: joint pain, skin mottling, unusual fatigue, numbness or tingling, weakness, dizziness, and shortness of breath. Symptoms typically appear within one hour of surfacing, though they can be delayed.

Prevention: follow dive tables or a dive computer, ascend no faster than 30 feet per minute, perform a 3-minute safety stop at 15 fsw on every dive, stay within no-decompression limits, stay well hydrated, and avoid flying for the recommended interval after diving.

Barotrauma Overview

Any gas-filled space in or around the body can be injured by unequal pressure:

Emergency Response: DCS Recognition and Oxygen

As a divemaster candidate, you are expected to recognize and initiate response to a diving emergency. A structured five-step approach is required:

1. Scene safety – ensure the area is safe for rescuers and the injured diver

2. Recognition – use a systematic symptom checklist to identify possible DCS or AGE

3. Oxygen delivery – administer 100% oxygen at a high flow rate via non-rebreather mask as soon as possible; breathing oxygen accelerates nitrogen off-gassing and reduces bubble size

4. EMS activation – call emergency services and contact DAN (Divers Alert Network) for guidance

5. Diver positioning – lay the diver flat (supine); do not place them in the head-down position, which is no longer recommended by DAN or PADI

Oxygen first aid is the single most important pre-hospital intervention for DCS. Divemasters must be familiar with the portable oxygen unit, including how to assemble it, confirm flow, and apply the mask correctly. Refer to DAN Emergency Oxygen Provider guidelines for hands-on practice requirements.

Safety Summary

Key terms10

Absolute pressureTotal pressure acting on a diver, equal to gauge pressure plus atmospheric pressure (1 atm at the surface); used in all gas-law calculations.
Boyle's LawAt constant temperature, the volume of a gas varies inversely with its absolute pressure (P₁V₁ = P₂V₂); explains gas-space compression and expansion in diving.
Dalton's LawThe total pressure of a gas mixture equals the sum of the partial pressures of its component gases; used to calculate how much oxygen or nitrogen a diver actually breathes at depth.
Partial pressureThe pressure contributed by a single gas in a mixture; the body responds to partial pressures, not percentages, making depth critical for gas effects.
Decompression sickness (DCS)A diving injury caused by nitrogen bubbles forming in tissues and blood when a diver ascends too quickly; ranges from joint pain (Type I) to neurological damage (Type II).
BarotraumaTissue injury caused by unequal pressure between a gas space in or on the body and the surrounding water; includes ear squeeze, sinus squeeze, and pulmonary barotrauma.
Nitrogen narcosisAn impairment of judgment and coordination caused by elevated partial pressure of nitrogen at depth; affects most divers at recreational depths deeper than about 100 fsw.
Arterial gas embolism (AGE)A life-threatening condition in which gas bubbles enter the arterial bloodstream, typically from pulmonary barotrauma caused by breath-holding on ascent; requires immediate recompression.
Henry's LawThe amount of gas that dissolves in a liquid is proportional to the partial pressure of that gas above the liquid; explains why nitrogen accumulates in tissues as depth increases.
No-decompression limit (NDL)The maximum time a diver can spend at a given depth using a direct ascent with a safety stop, without needing mandatory decompression stops; staying within NDLs is central to recreational diving safety.

Worked examples4

1. A diver takes a full breath of 6 liters at the surface (1 atm absolute). What is the volume of that air when the diver reaches 33 fsw?
  1. Identify the known values: P₁ = 1 atm, V₁ = 6 L, P₂ = 2 atm (surface 1 atm + 1 atm for every 33 fsw = 2 atm at 33 fsw).
  2. Apply Boyle's Law: P₁ × V₁ = P₂ × V₂, so V₂ = (P₁ × V₁) ÷ P₂.
  3. Substitute: V₂ = (1 × 6) ÷ 2 = 3 L.
Answer: 3 liters. The air is compressed to half its surface volume at 33 fsw.
2. A diver has a lung volume of 2.5 liters at 99 fsw (4 atm absolute). If the diver holds that breath and ascends to the surface (1 atm), what volume will the gas occupy?
  1. Identify the known values: P₁ = 4 atm, V₁ = 2.5 L, P₂ = 1 atm.
  2. Apply Boyle's Law: V₂ = (P₁ × V₁) ÷ P₂.
  3. Substitute: V₂ = (4 × 2.5) ÷ 1 = 10 L.
  4. Normal total lung capacity for an adult is roughly 6 liters; 10 liters far exceeds that, meaning the expanding gas would rupture lung tissue—illustrating why breath-holding on ascent is life-threatening.
Answer: 10 liters—well beyond safe lung capacity, demonstrating the lethal risk of breath-holding on ascent.
3. Air is approximately 21% oxygen and 79% nitrogen. What is the partial pressure of nitrogen (PN₂) when a diver breathes air at 66 fsw?
  1. Determine absolute pressure at 66 fsw: 66 ÷ 33 = 2 additional atm; total = 1 + 2 = 3 atm.
  2. Apply Dalton's Law: PN₂ = fraction of N₂ × P_total.
  3. Substitute: PN₂ = 0.79 × 3 = 2.37 atm.
Answer: PN₂ = 2.37 atm at 66 fsw. This elevated partial pressure is why nitrogen dissolves into tissues more rapidly at depth.
4. What is the partial pressure of oxygen (PO₂) when breathing air at 99 fsw, and is it within the recreational oxygen toxicity limit of 1.6 atm?
  1. Determine absolute pressure at 99 fsw: 99 ÷ 33 = 3 additional atm; total = 1 + 3 = 4 atm.
  2. Apply Dalton's Law: PO₂ = 0.21 × 4 = 0.84 atm.
  3. Compare to the limit: 0.84 atm is well below 1.6 atm.
Answer: PO₂ = 0.84 atm—safely below the 1.6 atm recreational oxygen toxicity threshold. Air diving at recreational depths does not pose an oxygen toxicity risk.

The math in this lesson1

Learners rearrange Boyle's law P₁V₁ = P₂V₂ to find a 6 L breath compresses to 3 L at 33 fsw.
A-CED.4
Brush up in the math halls at newSchoolWorks.com:
In class: Complete a guided worksheet set solving Boyle's Law problems (e.g., lung volume at 33 fsw vs. surface) and Dalton's Law partial-pressure problems for air at recreational depths; check answers against an answer key and correct errors with written explanations. · Watch a narrated diagram presentation on barotrauma, nitrogen narcosis, and decompression sickness (DCS) pathophysiology; annotate a human-body outline identifying which tissues and organs are affected at each stage of DCS. · Role-play a divemaster scenario in which a student plays the DM responding to a diver reporting dizziness and joint pain at the surface; student must run through a structured DCS recognition checklist and initiate the emergency action plan including oxygen administration protocols.
Materials: PADI Divemaster Manual (current edition), PADI Encyclopedia of Recreational Diving or equivalent reference, pressure-law worksheet packet, anatomical body-outline handout, DAN Emergency Oxygen Provider course materials, portable oxygen unit (training unit acceptable)
Check: Score 80% or higher on a 20-question closed-book quiz covering pressure laws, gas laws, and diving physiology; DCS scenario checklist must include all five required steps (scene safety, recognition, oxygen delivery, EMS activation, diver positioning) with no life-threatening omissions.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

Dive Physics and Physiology
1. A diver's BCD contains 4 liters of air at 66 fsw (3 atm absolute). The diver ascends to the surface without venting the BCD. Using Boyle's Law, what volume does that air occupy at the surface (1 atm)?
Dive Physics and Physiology
2. Dalton's Law is most directly used in diving to explain which of the following?
Diver Safety and Emergency Response
3. A recreational diver surfaces complaining of aching knees and unusual fatigue after a deep dive. Which condition should the divemaster suspect first?
Diver Safety and Emergency Response
4. What is the correct positioning for a conscious diver suspected of having decompression sickness while awaiting emergency medical services?
Dive Physics and Physiology
5. Which gas law explains why a diver who holds a full breath and ascends from depth risks pulmonary barotrauma?
Dive Physics and Physiology
6. According to Henry's Law, what happens to the amount of nitrogen dissolved in a diver's tissues as depth increases?
Diver Safety and Emergency Response
7. In the five-step DCS emergency response sequence, what must occur immediately after recognizing symptoms of DCS in a surface diver?
Dive Physics and Physiology
8. Nitrogen narcosis at recreational depths is best described as:
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