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Chemistry | 11th Edition | ISBN: 9780073402680 | Authors: Raymond Chang
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(a) Estimate the volume of air at 1.0 atm and 22°C needed

Chapter 5, Problem 175P

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QUESTION:

(a) Estimate the volume of air at 1.0 atm and \(22^{\circ} \mathrm{C}\) needed to fill a bicycle tire to a pressure of 5.0 atm at the same temperature. (Note that the 5.0 atm is the gauge pressure, which is the difference between the pressure in the tire and atmospheric pressure.) (b) The tire is pumped by filling the cylinder of a hand pump with air at 1.0 atm and then, by compressing the gas in the cylinder, adding all the air in the pump to the air in the tire. If the volume of the pump is 33 percent of the tire's volume, what is the gauge pressure in the tire after three full strokes of the pump?

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QUESTION:

(a) Estimate the volume of air at 1.0 atm and \(22^{\circ} \mathrm{C}\) needed to fill a bicycle tire to a pressure of 5.0 atm at the same temperature. (Note that the 5.0 atm is the gauge pressure, which is the difference between the pressure in the tire and atmospheric pressure.) (b) The tire is pumped by filling the cylinder of a hand pump with air at 1.0 atm and then, by compressing the gas in the cylinder, adding all the air in the pump to the air in the tire. If the volume of the pump is 33 percent of the tire's volume, what is the gauge pressure in the tire after three full strokes of the pump?

ANSWER:

Step 1 of 3

(a) Here we have to estimate the volume of air.

 

Given:

Pressure of air = 1.0 atm

Temperature = 22°C

Pressure of bicycle tire = 5.0 atm

 

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