×
Log in to StudySoup
Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 20e
Join StudySoup for FREE
Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 20e

Already have an account? Login here
×
Reset your password

With the assumption that the air temperature is a uniform

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

Solution for problem 20E Chapter 18

University Physics | 13th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 1 248 Reviews
10
3
Problem 20E

With the assumption that the air temperature is a uniform 0.0°C (as in Example 18.4), what is the density of the air at an altitude of 1.00 km as a percentage of the density at the surface?

Step-by-Step Solution:
Step 1 of 3

Solution 20E We need to first find the expression for density with height. This can be derived from the expression of pressure as shown below. pM We have density = RT …..(1) RTy The variation of pressure with height is given by p = p e 0 …..(2) Here, p =0tmospheric pressure , M =molar mass of air, g =acceleration due to gravity y =height, R =universal gas constant, T =absolute temperature 0 Given, temperature T = 0 C = 273.15 K Altitude y = 1.00 km = 1000 m M = 0.029 kg/mol R = 8.314 J/mol.K g = 9.8 m/s 2 Now, substituting the value of p from equation (2) in equation (1), p 0 Mgy = RT e RT …..(3) p 0 The density of air on surface = s RT …..(4) Now, dividing equation (3) by (4), Mgy = e RT …..(5) s Now, substituting the given values in equation (5), we can calculate the density of air at the given altitude. From equation (5), 0.029×9.8×1000 = e 8.314×273.15 s = e 0.125 s = 0.125 s e 1 = s 1.13 = 0.88 s = 88% s Therefore, the density of air at the given altitude is 88% of the density at the surface.

Step 2 of 3

Chapter 18, Problem 20E is Solved
Step 3 of 3

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

With the assumption that the air temperature is a uniform