# Gas expansion problems

The answers are given; please provide the workings.

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

https://brainmass.com/physics/atmosphere/gas-expansion-problems-288361

#### Solution Preview

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 = ...

#### Solution Summary

The expert examines the gas expansion problems.