Question

Find the height of liquid level if you use water instead of mercury in the barometer

Answer 1

Hey there,

Lets determine the height of liquid level if you use water instead of mercury in barometer.

For mercury at sea level, the height is :

H = 76cm of Hg

Now by applying formula for pressure-

Pressure = p×g×H

Where H is 76cm, p is density of mercury = 13600 kg/m³

So, P (watercolumn) = P (Hg water)

Thus, we have:

`{p}^(w) * g * {h}^(w) = {p}^(hg) * g * H`

`→{h}^(w) = \frac{ {p}^(hg) }{ {p}^(w) } * H`

`→ {h}^(w) = (13600)/(1000) * 76`

`→ {h}^(w) = 1033.6 cm`

Therefore, height is 1033.6 cm