Answer to Question #152591 in Physics for 612

Question

Using a mercury (13.6 g.cm-3) barometer, a student found that at the top of a mountain the mercury was 50 cm height, and at the bottom of the same mountain it reads 70 cm. Find the height of the mountain (the density of air was 0.002 g.cm-3 during the experiment).

Answer 1

$$\Delta p=\rho_{Hg}g(h'-h)=\rho_{air}gH\\ 13.6(0.7-0.5)=0.002H\\H=1360\ m$$