   Chapter 10, Problem 34P

Chapter
Section
Textbook Problem

An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 28.0% of its original volume and the temperature is increased to 40.0°C. (a) What is the tire pressure in pascals? (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 2.00%. What is the new tire pressure (absolute) in pascals?

(a)

To determine
The tire pressure.

Explanation

Given info: The initial pressure is Pi=1.0atm . The initial and final temperatures are Ti=10οC and Tf=40οC . The final volume ( Vf ) is 0.280 times the initial volume ( Vi ).

From the Ideal gas equation,

PiViPfVf=TiTf

On Re-arranging,

Pf=Pi(ViVf)(TfTi)

Substitute 1.0 atm for Pi , 10οC for Ti , 40οC for Tf and 0

(b)

To determine
The new tire pressure.

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