High School

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If a gas has a gauge pressure of 156 kPa, its absolute pressure is approximately:

A. 56 kPa
B. 300 kPa
C. 100 kPa
D. 256 kPa

Answer :

To solve the problem of finding the absolute pressure of a gas when the gauge pressure is given, we need to understand the difference between gauge pressure and absolute pressure.

Gauge pressure is the pressure of a system above atmospheric pressure. Absolute pressure, on the other hand, is the total pressure exerted on a system, which includes atmospheric pressure.

Here's the step-by-step solution:

1. Identify the given gauge pressure: The problem states that the gauge pressure is 156 kPa.

2. Consider the standard atmospheric pressure: Atmospheric pressure at sea level is typically about 100 kPa.

3. Calculate the absolute pressure: Absolute pressure is found by adding the gauge pressure to the atmospheric pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]

4. Final calculation:
[tex]\[
\text{Absolute Pressure} = 256 \, \text{kPa}
\][/tex]

Therefore, the absolute pressure of the gas is approximately 256 kPa. The correct answer is option D.

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