Convert a pressure of 800 mm Hg to the following units: a. psia b. kPa c. atm d. ft H2O
The Correct Answer and Explanation is :
To convert 800 mm Hg (millimeters of mercury) into other pressure units, we will use the following conversion factors:
a. psia (pounds per square inch absolute)
We use the conversion factor:
1 mm Hg = 0.0193368 psia.
So, for 800 mm Hg:
[
800 \, \text{mm Hg} \times 0.0193368 \, \text{psia/mm Hg} = 15.46944 \, \text{psia}
]
Thus, 800 mm Hg = 15.47 psia (rounded to two decimal places).
b. kPa (kilopascals)
We use the conversion factor:
1 mm Hg = 0.133322 kPa.
So, for 800 mm Hg:
[
800 \, \text{mm Hg} \times 0.133322 \, \text{kPa/mm Hg} = 106.6576 \, \text{kPa}
]
Thus, 800 mm Hg = 106.66 kPa (rounded to two decimal places).
c. atm (atmospheres)
We use the conversion factor:
1 mm Hg = 0.00131579 atm.
So, for 800 mm Hg:
[
800 \, \text{mm Hg} \times 0.00131579 \, \text{atm/mm Hg} = 1.052632 \, \text{atm}
]
Thus, 800 mm Hg = 1.05 atm (rounded to two decimal places).
d. ft H2O (feet of water)
We use the conversion factor:
1 mm Hg = 0.00293668 ft H2O.
So, for 800 mm Hg:
[
800 \, \text{mm Hg} \times 0.00293668 \, \text{ft H2O/mm Hg} = 2.349344 \, \text{ft H2O}
]
Thus, 800 mm Hg = 2.35 ft H2O (rounded to two decimal places).
Summary:
- 800 mm Hg = 15.47 psia
- 800 mm Hg = 106.66 kPa
- 800 mm Hg = 1.05 atm
- 800 mm Hg = 2.35 ft H2O
Explanation:
Pressure is a measure of the force exerted by a fluid or gas per unit area. Different units are used to measure pressure based on regional and scientific contexts. mm Hg is commonly used in medical and meteorological contexts, while units like psia, kPa, atm, and ft H2O are used in engineering and physics.
- psia is the pressure in pounds per square inch relative to a vacuum (absolute pressure).
- kPa is a metric unit of pressure, widely used in scientific contexts.
- atm represents atmospheric pressure and is commonly used to express the pressure at sea level.
- ft H2O is used in fields such as hydraulics to represent the height of a column of water that exerts the same pressure as the given value.
Each unit corresponds to a different scale, and converting between them requires using specific conversion factors based on the relationship between the units.