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The absolute pressure of an automobile tire is measured to

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 103P Chapter 2

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 103P

The absolute pressure of an automobile tire is measured to be 290 kPa before a trip and 310 kPa after the trip. Assuming the volume of the tire remains constant at 0.022 m3, determine the percent increase in the absolute temperature of the air in the tire.

Step-by-Step Solution:

Step 1:

        The absolute pressure of an automobile tire before a trip P1 = 290 kPa

        The absolute pressure of an automobile tire after the trip P2 = 310 kPa

        Constant Volume V = 0.022 m3

        To determine the percent increase in the absolute temperature of the air in the tire

Step 2:

        From ideal gas equation

        PV = nRT

        Since the volume is constant, we can rewrite the equation

        P T

        As the automobile travels on the road the temperature of the tire gets increased due to external forces, since the volume of the tire is constant, the pressure gets increased.

Step 3:

        The temperature of the tire before the trip

        T1 P1

        The temperature of the tire after the trip

        T2 P2

Step 4 of 6

Chapter 2, Problem 103P is Solved
Step 5 of 6

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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