Chapter05_LEC (1)

# Find t r v p n atm 275 mmhg 760 atm 1 mmhg 209 p tot

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Find: T R V P n atm 275 . 0 mmHg 760 atm 1 mmHg 209 P tot , P He , P Ne P Ar MM n m Ar g 0.449 mol 1 g 39.95 mol 10 125 . 1 2 P tot = P a + P b + etc., 1 atm = 760 mmHg, MM Ar = 39.95 g/mol K mol L atm 0.08206 R nRT, PV n m MM Ar = 0.275 atm, V = 1.00 L, T=298 K mass Ar , g P Ar , V, T n A r m A r P Ar = P tot – (P He + P Ne ) mmHg 209 mmHg 112 341 662 P Ar

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Tro, Chemistry: A Molecular Approach 51 Practice – Find the partial pressure of neon in a mixture with total pressure 3.9 atm, volume 8.7 L, temperature 598 K, and 0.17 moles Xe.
atm 89 5 9 . 0 L 8.7 K 98 5 0.08206 mol 0.17 V T R n P K mol L atm Xe Xe Xe Ne total , K mol L atm P P P 0.08206 R nRT, PV Find the partial pressure of neon in a mixture with total pressure 3.9 atm, volume 8.7 L, temperature 598 K, and 0.17 moles Xe the unit is correct, the value is reasonable P tot = 3.9 atm, V = 8.7 L, T = 598 K, Xe = 0.17 mol P Ne , atm Check: Solution: Concept Plan: Relationships: Given: Find: V T R n P Xe Xe n Xe , V, T, R P Xe atm 2.9 atm 89 5 0.9 atm 9 . 3 P P P Xe total Ne P tot , P Xe P Ne Xe total Ne P P P

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Tro, Chemistry: A Molecular Approach 53 Mole Fraction the fraction of the total pressure that a single gas contributes is equal to the fraction of the total number of moles that a single gas contributes total A total A n n P P the ratio of the moles of a single component to the total number of moles in the mixture is called the mole fraction, for gases, = volume % / 100% total A A n n the partial pressure of a gas is equal to the mole fraction of that gas times the total pressure total A A P P
Tro, Chemistry: A Molecular Approach 54 Mountain Climbing & Partial Pressure our bodies are adapted to breathe O 2 at a partial pressure of 0.21 atm Sherpa, people native to the Himalaya mountains, are adapted to the much lower partial pressure of oxygen in their air partial pressures of O 2 lower than 0.1 atm will lead to hypoxia unconsciousness or death climbers of Mt Everest carry O 2 in cylinders to prevent hypoxia on top of Mt Everest, P air = 0.311 atm, so P O2 = 0.065 atm

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Tro, Chemistry: A Molecular Approach 55 Deep Sea Divers & Partial Pressure its also possible to have too much O 2 , a condition called oxygen toxicity P O2 > 1.4 atm oxygen toxicity can lead to muscle spasms, tunnel vision, and convulsions its also possible to have too much N 2 , a condition called nitrogen narcosis also known as Rapture of the Deep when diving deep, the pressure of the air divers breathe increases – so the partial pressure of the oxygen increases at a depth of 55 m the partial pressure of O 2 is 1.4 atm divers that go below 50 m use a mixture of He and O 2 called heliox that contains a lower percentage of O 2 than air
Tro, Chemistry: A Molecular Approach 56 Partial Pressure & Diving

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2 2 2 O mol 135 . 0

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