Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 19, Problem 37P
(a)
To determine
The pressure of tire.
(b)
To determine
The pressure of new tire.
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Students have asked these similar questions
A vehicle tire is inflated with air initially at 15°C and normal atmospheric pressure. During the process, the air is compressed to 26.5% of its original volume and the temperature is increased to 42.5°C. (a) What is the tire pressure in pascals? (b) After the vehicle is driven at high speed, the tire’s air temperature rises to 81.0°C and the tire’s interior volume increases by 2.1%. What is the new tire pressure (absolute) in pascals?
Step 1
(a) The ideal-gas equation describes each condition of the air in the tire. We will set up ratios in order to describe these changes. Dividing the equations PV = nRT in the initial and final
states, we have
PfVf
Tf
P¡Vi Ti
Solving for the final pressure in the tire, gives
Pf
=
=
=
which gives
I
Tf
P(V)()
P₁
Vf
T₁
=
(1.013 x 105 Pa)
x 105 Pa.
Note that the volume V¡ cancels out of the equation.
=
Vf
Po = Pr (V ( ) ( )
Pd
Pf
Vi
V₁
Step 2
(b) After the car is driven, the temperature and volume of air in the tire have changed. Let Td be the temperature and Vd be the volume of air in the tire. We have
PdVd
Td
PfVf
Tf'
x 105 Pa
273 +
273 +
Vf
Vf
Again we see that the volume Vf cancels out of the equation.
°C
K
°℃
K
=
x 105 Pa.
An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 27.0% of its original volume and the
temperature is increased to 39.0°C.
(a) What is the tire pressure in pascals?
Pa
(b) After the car is driven at high speed, the tire's air temperature rises to 85.0°C and the tire's interior volume increases by 3.00%. What is the new tire pressure
(absolute) in pascals?
Pa
Chapter 19 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 19.1 - Prob. 19.1QQCh. 19.3 - Consider the following pairs of materials. Which...Ch. 19.4 - If you are asked to make a very sensitive glass...Ch. 19.4 - Prob. 19.4QQCh. 19.5 - A common material for cushioning objects in...Ch. 19.5 - On a winter day, you turn on your furnace and the...Ch. 19 - Prob. 1OQCh. 19 - Prob. 2OQCh. 19 - Prob. 3OQCh. 19 - Prob. 4OQ
Ch. 19 - Prob. 5OQCh. 19 - Prob. 6OQCh. 19 - Prob. 7OQCh. 19 - Prob. 8OQCh. 19 - Prob. 9OQCh. 19 - Prob. 10OQCh. 19 - Prob. 11OQCh. 19 - Prob. 12OQCh. 19 - Prob. 13OQCh. 19 - Prob. 14OQCh. 19 - Prob. 1CQCh. 19 - Prob. 2CQCh. 19 - Prob. 3CQCh. 19 - Prob. 4CQCh. 19 - Prob. 5CQCh. 19 - Metal lids on glass jars can often be loosened by...Ch. 19 - Prob. 7CQCh. 19 - Prob. 8CQCh. 19 - Prob. 9CQCh. 19 - Prob. 10CQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - Prob. 4PCh. 19 - Liquid nitrogen has a boiling point of 195.81C at...Ch. 19 - Prob. 6PCh. 19 - Prob. 7PCh. 19 - Prob. 8PCh. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - A copper telephone wire has essentially no sag...Ch. 19 - Prob. 12PCh. 19 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - Prob. 17PCh. 19 - Why is the following situation impossible? A thin...Ch. 19 - A volumetric flask made of Pyrex is calibrated at...Ch. 19 - Review. On a day that the temperature is 20.0C, a...Ch. 19 - Prob. 21PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - In state-of-the-art vacuum systems, pressures as...Ch. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - Prob. 39PCh. 19 - Prob. 40PCh. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - The pressure gauge on a cylinder of gas registers...Ch. 19 - Prob. 45APCh. 19 - Prob. 46APCh. 19 - Prob. 47APCh. 19 - Prob. 48APCh. 19 - Prob. 49APCh. 19 - Why is the following situation impossible? An...Ch. 19 - Prob. 51APCh. 19 - Prob. 52APCh. 19 - Prob. 53APCh. 19 - Prob. 54APCh. 19 - A student measures the length of a brass rod with...Ch. 19 - Prob. 56APCh. 19 - A liquid has a density . (a) Show that the...Ch. 19 - Prob. 59APCh. 19 - Prob. 60APCh. 19 - The rectangular plate shown in Figure P19.61 has...Ch. 19 - Prob. 62APCh. 19 - Prob. 63APCh. 19 - Prob. 64APCh. 19 - Prob. 65APCh. 19 - Prob. 66APCh. 19 - Prob. 67APCh. 19 - Prob. 68APCh. 19 - Prob. 69APCh. 19 - Prob. 70APCh. 19 - Prob. 71APCh. 19 - Prob. 72CPCh. 19 - Prob. 73CPCh. 19 - Prob. 74CPCh. 19 - Prob. 75CPCh. 19 - Prob. 76CPCh. 19 - Prob. 77CPCh. 19 - Prob. 78CPCh. 19 - A 1.00-km steel railroad rail is fastened securely...
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