A submarine has two rooms. Room A has a volume of 45,000 L and is filled with 22 atm pure helium (He) gas. Room B has a volume of 25,000 and is filled with 3.4 atm of pure oxygen (O2) gas. Humans suffer irreversible damage at pressures above (aprox) 20 atm and require a partial pressure of oxygen at least 0.16 atm to breathe. Breathing oxygen at a pressure of greater than 1.6 atm results in oxygen poisoning. A person could not survive the atmosphere of either room. Opening the door connecting the two rooms allows the gases to form a mixture. a. After the door opens, what is the partial pressure of oxygen? b. After the door opens, what is the total pressure a person would feel in either room? (HINT: Dalton's Law)

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Submarine Atmosphere Calculation**

A submarine contains two rooms:

- **Room A**: 
  - Volume: 45,000 L
  - Gas: 22 atm of pure helium (He)

- **Room B**: 
  - Volume: 25,000 L
  - Gas: 3.4 atm of pure oxygen (O₂)

**Health and Safety Considerations:**
- Human health is at risk at pressures above approximately 20 atm.
- Breathing requires a partial pressure of oxygen (O₂) of at least 0.16 atm.
- Oxygen pressures above 1.6 atm can result in oxygen poisoning, making either room's atmosphere harmful on its own.

**Scenario:**
- Opening the door between the rooms allows gases to mix.

**Questions:**
a. What is the partial pressure of oxygen after the door opens?

b. What is the total pressure in either room after the door opens? (Hint: Use Dalton’s Law of Partial Pressures)
Transcribed Image Text:**Submarine Atmosphere Calculation** A submarine contains two rooms: - **Room A**: - Volume: 45,000 L - Gas: 22 atm of pure helium (He) - **Room B**: - Volume: 25,000 L - Gas: 3.4 atm of pure oxygen (O₂) **Health and Safety Considerations:** - Human health is at risk at pressures above approximately 20 atm. - Breathing requires a partial pressure of oxygen (O₂) of at least 0.16 atm. - Oxygen pressures above 1.6 atm can result in oxygen poisoning, making either room's atmosphere harmful on its own. **Scenario:** - Opening the door between the rooms allows gases to mix. **Questions:** a. What is the partial pressure of oxygen after the door opens? b. What is the total pressure in either room after the door opens? (Hint: Use Dalton’s Law of Partial Pressures)
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