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Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 21e
Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 21e

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# At an altitude of 11,000 m (a typical cruising altitude ISBN: 9780321675460 31

## Solution for problem 21E Chapter 18

University Physics | 13th Edition

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Problem 21E

At an altitude of 11,000 m (a typical cruising altitude for a jet airliner), the air temperature is -56.5°C and the air density is 0.364 kg/m3 .What is the pressure of the atmosphere at that altitude? (?Note: ?The temperature at this altitude is not the same as at the surface of the earth, so the calculation of Example 18.4 in Section 18.1 doesn’t apply.)

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Solution 21E To calculate the pressure of the atmosphere at the given altitude, we shall have to use the ideal gas equation PV = nRT , where P= pressure, V= volume, n= number of moles, R =gas constant and T= absolute temperature. 0 Given that, T = 56.5 = 273.15 56.5 K = 216,65 K 3 Density d = 0.364 kg/m Molar mass of air M = 0.029 kg/moles From the ideal gas equation, PV = nRT PV = w RT , w is the mass of the gas, M is the molar mass of the same M w PM = V RT w Now, V = density = d Therefore, PM = dRT …..(1) Substituting d, T and M values from above, we get 3 P × 0.029 kg/moles = 0.364 kg/m × 8.314 J/mol.K × 216.65 K 655.64 P = 0.029Pa P = 22608 Pa P = 226085 atm ( since 1 atm = 1.013 × 10 Pa) 1.013×10 P = 0.22 atm Therefore, the pressure of atmosphere at the given altitude is approximately 0.22 atm.

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 21E from chapter: 18 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 21E from 18 chapter was answered, more than 383 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “At an altitude of 11,000 m (a typical cruising altitude for a jet airliner), the air temperature is -56.5°C and the air density is 0.364 kg/m3 .What is the pressure of the atmosphere at that altitude? (?Note: ?The temperature at this altitude is not the same as at the surface of the earth, so the calculation of Example 18.4 in Section 18.1 doesn’t apply.)” is broken down into a number of easy to follow steps, and 64 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: altitude, temperature, air, EARTH, Atmosphere. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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