Question

The air pressure at the base of a mountain is 75cm of mercury while at the top is 60cm of mercury.calculate the height of the mountain

Answer 1

Answer:

Pressure differences between sea level and the top of hill△p=(h 1 −h 2 )×phg×g

=(75−50)×10^ −2×pHg ×g ...(i)

and pressure difference due to h metre of air△p=h×pair×g ...(ii)

By equating Eqs. (i) and (ii)

h×pair×g

=(75−50)×10 ^−2×pHg ×p

p=25×10^ −2 ( pHg/pair)

=25×10^ −2 ×10^4

=2500m

∴ Height of hill = 2.5 km