At the foot of the mountain, the barometer reads 760 mm Hg. Art., and at the top 722 mm Hg. Art

At the foot of the mountain, the barometer reads 760 mm Hg. Art., and at the top 722 mm Hg. Art. What is the approximate height of the mountain?

Given: P1 = 760 mm Hg; P2 = 722 mm Hg

Find: h -?

When solving this problem, remember that with small rises, on average, for every 12 m of rise, the pressure decreases by 1 mm Hg (or by 1.33 hPa).

Let’s find: how much the pressure has changed when going uphill:

(P1-P2) = (760-722) = 38 mm Hg

Now we can easily find the required value:

h = (38 * 12) / 1 = 456 m = 460 m

Answer: h = 460 m