College

The gas in a sealed container has an absolute pressure of 125.4 kilopascals. If the air around the container is at a pressure of 99.8 kilopascals, what is the gauge pressure inside the container?

A. 15 kPa
B. 24.1 kPa
C. 25.6 kPa
D. 1126 kPa
E. 225.2 kPa

Answer :

To find the gauge pressure inside the container, we need to calculate the difference between the absolute pressure inside the container and the atmospheric pressure outside the container.

Here's how you can do it step by step:

1. Understand the terms:
- Absolute pressure is the total pressure inside the container, including the atmospheric pressure.
- Atmospheric pressure is the pressure exerted by the air outside the container.
- Gauge pressure is the pressure relative to the atmospheric pressure and is calculated using the formula:

[tex]\[
\text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure}
\][/tex]

2. Identify the given values:
- Absolute pressure inside the container = 125.4 kilopascals (kPa)
- Atmospheric pressure outside the container = 99.8 kilopascals (kPa)

3. Calculate the gauge pressure:
- Substitute the values into the formula:

[tex]\[
\text{Gauge Pressure} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa} = 25.6 \, \text{kPa}
\][/tex]

4. Conclusion:
- The gauge pressure inside the container is 25.6 kPa.

Therefore, the correct answer is C. 25.6 kPa.

Other Questions