A sealed, flexible, foil bag of potato chips, containing 0.500 L of air, is carr

Question

A sealed, flexible, foil bag of potato chips, containing 0.500 L
of air, is carried from Boston (P
= 1.0 atm) to Denver
(P
atm
atm
= 0.83 atm).
a. What would the volume of the bag be upon arrival in
Denver?
b. If the structural limitations of the bag only allow for
a 10% expansion in the volume of the bag, what is the
pressure in the bag?
c. If the bag is in our checked luggage, the pressure and
temperature in the hold will decrease considerably during
flight to T = 210 K and P = 126 torr. Calculate the
pressure in the bag during flight.

Explanation / Answer

(a) P1V1 = P2V2

=> V2 = P1V1 / P2

=> V2 = 1.0 x 0.500 / 0.83

=> V2 = 0.602 L

(b)

P1V1 = P2V2

volume after 10% expansion (V2) = 0.505 L

P2 = P1V1 / V2

=> P2 = 1.0 x 0.500 / 0.505

=> P2 = 0.99 atm

(c)

During the flight pressure decreases to 126 torr.

126 torr = 0.166 atm

Therefore, pressure in the bag (P2) = 0.166 x 0.500 / 0.505 = 0.164 atm

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