High School

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

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

Answer :

Sure! To find the absolute pressure when the gauge pressure of a gas is given, you can follow these steps:

1. Understand the Difference Between Gauge Pressure and Absolute Pressure:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It does not take atmospheric pressure into account.
- Absolute Pressure is the total pressure, including the atmospheric pressure. It is calculated by adding the gauge pressure to the atmospheric pressure.

2. Identify the Given Values:
- We know the gauge pressure is 114 kPa.
- Atmospheric pressure is typically around 101 kPa at sea level.

3. Calculate Absolute Pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Plug in the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101 \, \text{kPa} = 215 \, \text{kPa}
\][/tex]

4. Select the Best Answer:
- From the options provided, 215 kPa matches option C (214 kPa) most closely, which seems to be the correct choice based on this nearby option.

Hence, the answer is C. 214 kPa.