The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg
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The basic formula of pressure that needs to be recalled is:
Pressure = Force / Cross-sectional Area
or symbolized:
[tex]\large {\boxed {P = F \div A} }[/tex]
P = Pressure (Pa)
F = Force (N)
A = Cross-sectional Area (m²)
Let us now tackle the problem !
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In this problem , we will use Ideal Gas Law as follows:
Given:
height of mercury column = h = 89 mm
atmospheric pressure = Po = 775 mmHg
Asked:
the pressure of the gas = P = ?
Solution:
We will use Hydrostatic Pressure formula to solve this problem as follows:
[tex]P = Po + \rho g h[/tex]
[tex]P = 775 \texttt{ mmHg} + 89 \texttt{ mmHg}[/tex]
[tex]P = 864 \texttt{ mmHg}[/tex]
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The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg
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Grade: High School
Subject: Physics
Chapter: Pressure
