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# Calculate the mean free path of air molecules at a ISBN: 9780321675460 31

## Solution for problem 38E Chapter 18

University Physics | 13th Edition

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Problem 38E

Calculate the mean free path of air molecules at a pressure of .

Step-by-Step Solution:
Step 1 of 3

Solution 38E The expression for mean free path is given by, kT = 2 …..(1), where k is Boltzmann’s constant, T is the temperature in absolute 4 2r P scale, r is the radius of air molecule and P is the pressure. Given, P = 3.50 × 10 13atm 13 5 5 P = 3.50 × 10 × 1.01 × 10 Pa (since 1 atm = 1.01 × 10 Pa) P = 3.53 × 10 8Pa 0 T = 27 C = 27 + 273 K = 300 K k = 1.38 × 10 23 J/K 10 r = 2.0 × 10 m Substituting these values in equation (1), = 1.38×102J/K × 300 K 4×3.14× 2×(2.0×1010m) ×3.53×108Pa 23 = 414×10 J 17.70×4×1020m ×3.53×108Pa = 1.65 × 10 m5 Therefore, the approximate mean free path of the air molecules at the given pressure is 1.65 × 10 m.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321675460

The full step-by-step solution to problem: 38E from chapter: 18 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: air, calculate, free, mean, Molecules. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “Calculate the mean free path of air molecules at a pressure of .” is broken down into a number of easy to follow steps, and 13 words. Since the solution to 38E from 18 chapter was answered, more than 296 students have viewed the full step-by-step answer.

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Calculate the mean free path of air molecules at a