Question

What is the pressure of the gas in this mercury manometer if h = 89 mm and atmospheric pressure is 775 mmhg?

Answer 1

The pressure of the gas is 686 mmhg.
If h = 89 mm
and atmospheric pressure = 775 mmhg
Pressure of the gas = ?
We can find the pressure of the gas by finding the difference between both values.
pressure of the gas = 775 mmhg - 89 mm = 686 mmhg

Answer 2

The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg

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Further explanation

The basic formula of pressure that needs to be recalled is:

Pressure = Force / Cross-sectional Area

or symbolized:

$\large {\boxed {P = F \div A} }$

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:

$P = Po + \rho g h$

$P = 775 \texttt{ mmHg} + 89 \texttt{ mmHg}$

$P = 864 \texttt{ mmHg}$

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Conclusion :

The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg

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Learn more

• Minimum Coefficient of Static Friction : brainly.com/question/5884009
• The Pressure In A Sealed Plastic Container : brainly.com/question/10209135
• Effect of Earth’s Gravity on Objects : brainly.com/question/8844454

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Answer details

Grade: High School

Subject: Physics

Chapter: Pressure