You open your plastic bag while in the mountains, where the temperature is T 1 a

Question

You open your plastic bag while in the mountains, where the temperature is T1 and the atmospheric pressure is P1. Then seal the bag shut, trapping a volume V1 of air within the bag.

- You return to lower altitude, where the pressure is P2 and the temperature is T2. Write an expression for the volume occupied by air in the bag.

- Calculate this final volume if the volume of the mountain air was 0.50 L at 10C and 71 kPa and the temperature and the pressure at lower altitude are 24C and 98 kPa, respectively.

Explanation / Answer

P1V1/T1 = P2V2/T2

V2 = P1V1/T1 * T2/P2

V2 = 71*0.5*24/10*98 = 0.869 L

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