# At the foot of the mountain, the barometer shows 98642 Pa, and at the top of the mountain 90317 Pa.

At the foot of the mountain, the barometer shows 98642 Pa, and at the top of the mountain 90317 Pa. Determine the height of the mountain. For every 10m, the pressure changes by 111Pa.

Given:

P1 = 98642 Pascal – atmospheric pressure at the foot of the mountain;

P2 = 90317 Pascal – atmospheric pressure at the top of the mountain;

k = 111 Pascal per 10 meters – dependence of pressure on height.

It is required to determine h (meter) – the height of the mountain.

Let’s find the pressure difference between the foot and the top of the mountain:

dP = P1 – P2 = 98642 – 90317 = 8325 Pascal.

Then, to determine the height of the mountain, you need to use the following formula:

h = dP * 10/111 = 8325 * 10/111 = 83250/111 = 750 meters.

Answer: the height of the mountain is 750 meters.

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