All pressure measurements are differential pressure measurements. Gauge pressure is the pressure difference between a pressure measurement and the ambient atmospheric pressure. Absolute pressure is the difference between a pressure measurement and a perfect vacuum. Vacuum pressure is the difference between a pressure measurement and the ambient atmospheric pressure when the pressure measurement is less than the atmospheric pressure.
Convert the given pressures to the desired pressure units.
1 What is the absolute pressure equivalent to 150.0psig in psia?
2 What is the absolute pressure equivalent to 4.3 psig in psia?
3 What is the gauge pressure equivalent to 101.7 psia in psig?
4 What is the gauge pressure equivalent to 90.0 psia in psig?
5 What is the vacuum pressure equivalent to 4.3 psia in psi vacuum?
6 What is the vacuum pressure equivalent to 14.7 psia in psi vacuum?
The Correct Answer and Explanation is :
Here’s the explanation and the answers to your pressure conversion questions:
1. Absolute Pressure Equivalent to 150.0 psig in psia:
To convert gauge pressure (psig) to absolute pressure (psia), you add the atmospheric pressure (14.7 psi at sea level) to the given gauge pressure.
[
\text{psia} = \text{psig} + 14.7 \text{ psi}
]
[
\text{psia} = 150.0 \text{ psig} + 14.7 \text{ psi} = 164.7 \text{ psia}
]
2. Absolute Pressure Equivalent to 4.3 psig in psia:
Similarly, for 4.3 psig:
[
\text{psia} = 4.3 \text{ psig} + 14.7 \text{ psi} = 19.0 \text{ psia}
]
3. Gauge Pressure Equivalent to 101.7 psia in psig:
To convert absolute pressure (psia) to gauge pressure (psig), you subtract atmospheric pressure from the given absolute pressure.
[
\text{psig} = \text{psia} – 14.7 \text{ psi}
]
[
\text{psig} = 101.7 \text{ psia} – 14.7 \text{ psi} = 87.0 \text{ psig}
]
4. Gauge Pressure Equivalent to 90.0 psia in psig:
For 90.0 psia:
[
\text{psig} = 90.0 \text{ psia} – 14.7 \text{ psi} = 75.3 \text{ psig}
]
5. Vacuum Pressure Equivalent to 4.3 psia in psi vacuum:
Vacuum pressure refers to the difference between atmospheric pressure and the measured pressure when the pressure is less than atmospheric. To find the vacuum pressure, subtract the given pressure from atmospheric pressure:
[
\text{psi vacuum} = 14.7 \text{ psi} – 4.3 \text{ psia} = 10.4 \text{ psi vacuum}
]
6. Vacuum Pressure Equivalent to 14.7 psia in psi vacuum:
For 14.7 psia, which is atmospheric pressure:
[
\text{psi vacuum} = 14.7 \text{ psi} – 14.7 \text{ psia} = 0 \text{ psi vacuum}
]
This indicates that at atmospheric pressure, there is no vacuum.
This explanation covers the basic conversions between gauge pressure, absolute pressure, and vacuum pressure. In these formulas, psig (pounds per square inch gauge) is the pressure relative to atmospheric pressure, psia (pounds per square inch absolute) is the pressure relative to a perfect vacuum, and psi vacuum represents the pressure below atmospheric pressure (vacuum pressure).