Gas expansion problems
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1. A tire contains 1ft3 of air at a gauge pressure of 28lb/in2. How much additional air at atmosphere pressure must be pumped into the tire to raise the pressure to 36lb/in2 at the same temperature?
Answer: 0.53ft3
2. A gas having a volume of 100ft3 at 27°C is expanded to 120ft3 by being heated at constant pressure. To what temperature has it been heated to have this new volume?
Answer: 87°C
3. A tire contains air at a gauge pressure of 28lb/in2 at 60°F. If the tire's volume does not change, what will be the gauge pressure be when its temperature is 100°F
Answer: 31.3 lb/in2
4. A gas sample occupies a volume of 1m3 at a temperature of 27°C and a pressure of 1atm. Find its volume at 127°C and 0.5atm
Answer: 2.67m3
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1. A tire contains 1ft3 of air at a gauge pressure of 28lb/in2. How much additional air at atmosphere pressure must be pumped into the tire to raise the pressure to 36lb/in2 at the same temperature?
Let x = added volume
P1/V1 = Pa/Va
28/1 = 14.7/x
X = 0.53 ft3
OR
P1 + x(Pa) = P2
28 + x(14.7) = 36
X = ...
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