Question

Airplane cabins are typically pressurized at 0.67 atm, and assuming the temperature inside an airplane is about the same as inside a potato chip processing plant, by what percentage has the bag "puffed up" in comparison to when it was packaged?

Answer 1

`\Delta V\%=49.25\%`

Step-by-step explanation:

Assuming the pressure inside the packet at the time of packaging,
`P_a=1\ atm`

Given that there is no temperature difference between the air inside the pack and the cabin.

Using mathematical expression of Boyle's law:

`P_1.V_1=P_2.V_2`

where subscripts 1 & 2 denote the initial and final conditions respectively.

`1* V_1=0.67* V_2`

`V_2=(V_1)/(0.67)`

Now change in volume:

`\Delta V=V_2-V_1`

`\Delta V=(V_1)/(0.67)-V_1`

`\Delta V=0.4925\ V_1`

Now the % increase in volume:

`\Delta V\%=(\Delta V)/(V_1) * 100`

`\Delta V\%=49.25\%`