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:
[tex] {p}^{w} \times g \times {h}^{w} = {p}^{hg} \times g \times H[/tex]
[tex]→{h}^{w} = \frac{ {p}^{hg} }{ {p}^{w} } \times H[/tex]
[tex]→ {h}^{w} = \frac{13600}{1000} \times 76[/tex]
[tex]→ {h}^{w} = 1033.6 cm[/tex]
Therefore, height is 1033.6 cm
