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Physics / University Physics 13 / Chapter 18 / Problem 61P

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

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An automobile tire has a volume of 0.0150 m3 on a cold day

Chapter 18, Problem 61P

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QUESTION:

An automobile tire has a volume of 0.0150 m3 on a cold day when the temperature of the air in the tire is 5.0o C and atmospheric pressure is 1.02 atm. Under these conditions the gauge pressure is measured to be 1.70 atm (about 25 lb/in.2). After the car is driven on the highway for 30 min, the temperature of the air in the tires has risen to 45.0o C and the volume has risen to 0.0159 m3. What then is the gauge pressure?

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QUESTION:

An automobile tire has a volume of 0.0150 m3 on a cold day when the temperature of the air in the tire is 5.0o C and atmospheric pressure is 1.02 atm. Under these conditions the gauge pressure is measured to be 1.70 atm (about 25 lb/in.2). After the car is driven on the highway for 30 min, the temperature of the air in the tires has risen to 45.0o C and the volume has risen to 0.0159 m3. What then is the gauge pressure?

ANSWER:

Solution 61P Step 1: Here V = 0.0150 m 3 1 T = 5 C = 278 K 1 The atmospheric pressure, P out= 1.02 atm The gauge pressure, P = 1.70 atm. gauge We know that, the inside pressure of the tyre is, P = P + P = 1.02 + 1.70 = 2.72 atm. in gauge out

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