Answer:
Height, h = 300.27 meters
Explanation:
Given that,
Pressure of the gas, [tex]P=400\ bar=4\times 10^7\ Pa[/tex]
We need to find the height of the manometer required. The pressure at a height is given by :
[tex]P=\rho gh[/tex]
Where
[tex]\rho[/tex] is the density of mercury, [tex]\rho=13593\ kg/m^3[/tex]
h is the height of the manometer required.
[tex]h=\dfrac{P}{\rho g}[/tex]
[tex]h=\dfrac{4\times 10^7}{13593\times 9.8}[/tex]
h = 300.27 meters
So, the height of the manometer required is 300.27 meters. Hence, this is the required solution.
