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# The absolute pressure of an automobile tire is measured to

ISBN: 9780071284219 39

## Solution for problem 103P Chapter 2

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

Step 5 of 6

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