Question

Hikers 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, the temperature is 25°C, and the volume of the bag is 0. 985 L. At the top of the mountain, the temperature is 22°C and the bag has puffed up to 1. 030 L. What is the air pressure on top of the mountain? Type in your answer using the correct number of significant figures. Formula: P1V1 T1 = P2V2 T2 atm.

Answer 1

The final pressure or the air pressure on the top of the mountain is 0.818.

What is air pressure?

Air pressure is the pressure exerted by air in the atmosphere of the earth.

By the Gas law

$\dfrac{P_1V_1}{ T1} =\dfrac{ P_2V_2 }{T_2}$

Given, the pressure of the valley floor is 1 atm. = P1

The temperature is 25° C = T1

The volume of the bag is 0.985 L. = V1

The temperature at the top of the mountain is ° C = T2

Now, the volume of the bag is 1. 030 L = V2

To find P2

Put the values in the formula

$\dfrac{1 atm \times0.985 L}{ 25} =\dfrac{ P_2 \times 1. 030 L }{22}\\\\0.03832 = 0.0468 \times P_2\\\\P_2= 0.818$

Thus, the final pressure is 0.818.

Learn more about pressure

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