Question

Hikers have noticed that a sealed bag of potato chips puffs up when taken to the top of a mountain. Suppose that at the valley floor below, the air pressure is 1.0 atm, temperature is 25°C, and the volume of the chip bag is 0.985 L. At the top of the mountain, the temperature is 22°C and the chip bag has puffed up to 1.030 L. What is the air pressure on top of the mountain? atm

Answer 1

Answer:

0.95

Explanation:

Answer 2

Answer:

0.95 atm

Explanation:

We are given;

Initial pressure, P1 = 1.0 atm

Initial temperature, T1 =298 K (25°C + 273)

Initial volume, V1 = 0.985 L

Final temperature, T2 = 295 K (22°C + 273)

Final volume, V2 = 1.030 L

We are required to find final air pressure;

Using the combined gas law;

$\frac{P1V1}{T1} =\frac{P2V2}{T2}$

To get, P2 ;

$P2=\frac{P1V1T2}{T1V2}$

$P2=\frac{(1.0)(0.985L)(295)}{(1.030)(298)}$

$P2 = 0.947 atm$

        = 0.95 atm

Therefore, the air pressure at the top of the mountain is 0.95 atm