The suction pressure of a pump reads 620 mm Hg vacuum. Determine the absolute pressure in kPaa, psia, and inch Hg abs.
To determine the absolute pressure in kPaa, psia, and inch Hg abs, we need to convert the given suction pressure reading from mm Hg vacuum to absolute pressure.
1. Converting mm Hg vacuum to kPaa:
To convert from mm Hg vacuum to kPaa, we need to add the atmospheric pressure to the vacuum pressure.
The standard atmospheric pressure at sea level is approximately 101.3 kPa. To convert to kPaa, we can use the following equation:
Absolute Pressure (kPaa) = Atmospheric Pressure (kPa) + Vacuum Pressure (kPavac)
Given that the vacuum pressure is 620 mm Hg, we need to convert it to kPavac by multiplying it by the conversion factor 0.133322.
Vacuum Pressure (kPavac) = 620 mm Hg vacuum * 0.133322 (conversion factor) = 82.791 kPavac
Now, we can calculate the absolute pressure in kPaa:
Absolute Pressure (kPaa) = Atmospheric Pressure (101.3 kPa) + Vacuum Pressure (82.791 kPavac)
Absolute Pressure (kPaa) ≈ 184.091 kPaa (rounded to three decimal places)
2. Converting mm Hg vacuum to psia:
To convert from mm Hg vacuum to psia, we need to add the atmospheric pressure to the vacuum pressure.
The standard atmospheric pressure at sea level is approximately 14.7 psi. To convert to psia, we can use the following equation:
Absolute Pressure (psia) = Atmospheric Pressure (psi) + Vacuum Pressure (psi vacuum)
Given that the vacuum pressure is 620 mm Hg, we need to convert it to psi by dividing it by the conversion factor 51.7149.
Vacuum Pressure (psi vacuum) = 620 mm Hg vacuum / 51.7149 (conversion factor) ≈ 11.998 psi
Now, we can calculate the absolute pressure in psia:
Absolute Pressure (psia) = Atmospheric Pressure (14.7 psi) + Vacuum Pressure (11.998 psi vacuum)
Absolute Pressure (psia) ≈ 26.698 psia (rounded to three decimal places)
3. Converting mm Hg vacuum to inch Hg abs:
To convert from mm Hg vacuum to inch Hg abs, we need to subtract the vacuum pressure from the atmospheric pressure.
The standard atmospheric pressure at sea level is approximately 29.92 inch Hg. To convert to inch Hg abs, we can use the following equation:
Absolute Pressure (inch Hg abs) = Atmospheric Pressure (inch Hg) - Vacuum Pressure (inch Hg vacuum)
Given that the vacuum pressure is 620 mm Hg, we need to convert it to inch Hg by dividing it by the conversion factor 25.4.
Vacuum Pressure (inch Hg vacuum) = 620 mm Hg vacuum / 25.4 (conversion factor) ≈ 24.409 inch Hg
Now, we can calculate the absolute pressure in inch Hg abs:
Absolute Pressure (inch Hg abs) = Atmospheric Pressure (29.92 inch Hg) - Vacuum Pressure (24.409 inch Hg vacuum)
Absolute Pressure (inch Hg abs) ≈ 5.511 inch Hg abs (rounded to three decimal places)
Therefore, the absolute pressure is approximately:
- 184.091 kPaa
- 26.698 psia
- 5.511 inch Hg abs