High School

What is the absolute pressure if the gauge pressure of a gas is 114 kPa?

A) 14 kPa
B) 214 kPa
C) 220 kPa
D) 50 kPa

Answer :

To find the absolute pressure when you know the gauge pressure, you need to add the atmospheric pressure to the gauge pressure. Here's how you can think about it:

1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas compared to the atmospheric pressure. It's the pressure reading shown by most pressure gauges.
- Atmospheric Pressure: This is the pressure exerted by the atmosphere which is approximately 101 kPa at sea level.
- Absolute Pressure: This is the total pressure exerted by the gas, which includes both the gauge pressure and the atmospheric pressure.

2. Given Values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure ≈ 101 kPa

3. Calculate Absolute Pressure:
- Absolute Pressure = Gauge Pressure + Atmospheric Pressure
- Absolute Pressure = 114 kPa + 101 kPa
- Absolute Pressure = 215 kPa

Therefore, the absolute pressure is 215 kPa. However, since this is not one of the options provided, it seems that there is a typo. The answer doesn't quite match one of the given choices, but based on our calculation, the absolute pressure should be 215 kPa (though it is absent from the provided options). Always double-check your options and calculations in such cases!