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

Gas law gives the relation between the volume, moles, pressure, and temperature of the gas. The air pressure at the top of the mountain is 0.945 atm.

What is Gas law?

Gas law gives the direct relationship between the pressure and the volume of the gas with that of the temperature of the gas.

Given,

Initial pressure = 1.0 atm

Initial volume = 0.985 L

Initial temperature = 298.15 K

Final pressure = ?

Final volume = 1.030 L

Final temperature = 295.15 K

The final pressure at the mountain top is calculated as:

[tex]\begin{aligned} \rm \dfrac{P_{1}V_{1}}{T_{1}} &= \rm \dfrac{P_{2}V_{2}}{T_{2}}\\\\\dfrac{1 \;\rm atm \times 0.985 \;\rm L}{ 298.15 \;\rm K} &= \;\rm \dfrac{P_{2} \times 1.030 \;\rm L}{295.15\;\rm K}\\\\&= 0.945 \;\rm atm\end{aligned}[/tex]

Therefore, the pressure on the top of the mountain is 0.945 atm.

Learn more about combined gas law here:

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