What is the absolute pressure in a tank measured by a manometer?

Here is a slightly different way to write the summary:In summary, a manometer was used to measure the pressure of a gas in a tank, with a specific gravity of 0.85 and a manometer column height of 55 cm. Taking into account the local atmospheric pressure of 96 kPa, the absolute pressure within the tank was determined to be 100.6 kPa using the equation P = P atm + pgh.
  • #1
DevonZA
181
6

Homework Statement


A manometer is used to measure the pressure of a gas in a tank. The fluid used has a the specific gravity of 0.85, and the manometer column height is 55 cm, as shown in figure 3-20. If the local atmospheric pressure is 96 kPa, determine the absolute pressure within the tank.

Homework Equations


P = SG x p

P = P atm + pgh

The Attempt at a Solution


SOLUTION.

The reading of manometer attached to a tank is to be determined.

Assumptions The density of a gas in the tanks is much lower than the density of the manometer fluid.

Properties The specific gravity of the manometer fluids is given to be 0.85. We take the standard density of water to be 1000kg/m³.

Analysis The density of the fluid is obtained by multiplying its specific gravity by the density of water,

P = SG ( p H2O ) = (0.85)(1000kg/m³) = 850 kg/m³

P = P atm + pgh

= 96 kPa + (850kg/m³)(9.81m/s²)(0.55m) x (1N/1kg.m/s^2)(1kPa/1000N/m^2)

= 100.6 kPa

*edit I figured it out
 
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  • #2
Looks correct, to me.
 

1. What is absolute pressure and how is it different from gauge pressure?

Absolute pressure is the total pressure exerted by a fluid or gas, including atmospheric pressure. It is different from gauge pressure, which only measures the pressure above atmospheric pressure.

2. How do you determine absolute pressure?

Absolute pressure can be determined by adding atmospheric pressure to the gauge pressure reading. This can be done using a barometer or by using equations such as the ideal gas law.

3. What are some common units of measurement for absolute pressure?

Some common units of measurement for absolute pressure include pounds per square inch (psi), pascals (Pa), and atmospheres (atm). In the SI system, the unit for pressure is the newton per square meter (N/m²).

4. How does altitude affect absolute pressure?

The higher the altitude, the lower the atmospheric pressure. This means that at higher altitudes, the absolute pressure will be lower due to the decrease in atmospheric pressure.

5. Why is it important to determine absolute pressure in certain scientific experiments?

In many scientific experiments, accurate measurement of pressure is crucial for obtaining reliable results. Absolute pressure allows for a more precise understanding of the behavior of gases and fluids, and can also help in determining the safety and efficiency of certain processes.

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