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The size of an oxygen molecule is about 2.0 X 10-10 m.

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 68P Chapter 18

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 68P

The size of an oxygen molecule is about 2.0 X 10-10 m. Make a rough estimate of the pressure at which the finite volume of the molecules should cause noticeable deviations from ideal-gas behavior at ordinary temperatures (T = 300 K).

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Solution 68P We shall have to use the ideal gas equation PV = nRT to calculate the required value of pressure. 10 Given, the size of oxygen molecule is r = 2.0 × 10 m 4 3 Its volume V 1 = 3r V = 4 × 3.14 × (2.0 × 1010 m) 3 1 3 V = 33.5 × 1030 m 3 1 23 30 3 Volume of 1 mole of the gas V = 6.02 × 10 × 33.5 × 10 m 7 3 V = 201 × 10 m V = 2.01 × 10 5m 3 Now, the number of moles n = 1 R = 8.314 J/mol.K T = 300 K Therefore, from the ideal gas equation PV = nRT , 5 3 P × 2.01 × 10 m = 1 × 8.314 J/mol.K × 300 K 5 P = 1240 × 10 Pa P = 1.24 × 10 Pa Therefore, the approximate pressure is 1.24 × 10 Pa.

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Chapter 18, Problem 68P is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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The size of an oxygen molecule is about 2.0 X 10-10 m.