In deflating an air mattress you press the valve release so that air begins to e

Question

In deflating an air mattress you press the valve release so that air begins to escape. After some of the air has escaped, the pressure inside the air mattress decreases to atmospheric pressure, and no more air flows out. By squeezing all the air out from the end of the air mattress opposite the valve, you reduce the volume and increase the pressure in the remaining air, so that it will flow out. The air initially occupies a volume of 0.120m^3. By how much do you need to reduce its volume in order to increase the pressure to 1.20 atm?

Explanation / Answer

Apply P1V1 = P2V2

(1)(.120) = (1.2)(V2)

V2 = .100 m3

Thus the new volume would be .100 m3 but we are asked by how much we need to reduce the volume. The original volume was .120 m3 so we reduced the volume by...

.120 - .100 = .020 m3

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