BME365S_Homework4_2011

# BME365S_Homework4_2011 - HW 4 solution key 1(8 points What...

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HW 4 solution key 1. (8 points) What are the four primary functions of the respiratory system? a. Exchange of gases between the atmosphere and the blood; homeostatic regulation of body pH; protection from inhaled pathogens and irritating substances; vocalization 2. (12 points) Describe Dalton’s Law, Boyles’s Law and the law of LaPlace. a. Dalton’s Law states that the total pressure of a mixture of gases is the sum of the pressures of the individual gases. Boyles’s Law states that if the volume of a container of gas changes, the pressure of the gas will change in an inverse manner (P 1 V 1 = P 2 V 2 ). The law of LaPlace states that the pressure inside a bubble formed by a fluid film is a function of the surface tension of the fluid and the radius of the bubble (P = 2T/r). 3. (14 points) At the sea surface, the air in a scuba dive r’s lungs is under 1 atmosphere of pressure and the diver breathes air that contains atmospheric partial pressures of N 2 and O 2 (79% and 21%, respectively). Ideally, a diver’s air tank also contains a mixture of 79% N 2 and 21% O 2 . Calculate the 1) volume of the diver’s lungs as a function of lung volume at sea surface and 2) the partial pressures of N 2 and O 2 for each of the following conditions: a. At 3 3 ft below the sea surface, the pressure on the diver’s body is 2 atm. b. At 66 ft below the sea surface, t he pressure on the diver’s body is 3 atm. c. At 99 ft below the sea surface, the pressure on the diver’s body is 4 atm. d. At 264 ft (should be 231 ft) below the sea surface, the pressure on the diver’s body is 8 atm. The maximum O 2 partial pressure (P O2 ) the human nervous system can stand is 1.6 atm. At that point, O 2 actually becomes toxic to the human body. Decompression concerns aside, is the diver safe at a depth of 231 ft?

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