High School

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

A) 300 kPa
B) 56 kPa
C) 256 kPa
D) 100 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 do it step-by-step:

1. Understand the terms:
- Gauge pressure is the pressure of the gas above atmospheric pressure.
- Absolute pressure is the total pressure, including atmospheric pressure.

2. Know the standard atmospheric pressure:
- At sea level, the standard atmospheric pressure is approximately 101 kPa.

3. Add the atmospheric pressure to the gauge pressure:
- Gauge pressure given is 156 kPa.
- So, absolute pressure = gauge pressure + atmospheric pressure.
- Absolute pressure = 156 kPa + 101 kPa.

4. Calculate the absolute pressure:
- Absolute pressure = 257 kPa.

So, the answer is approximately 257 kPa, which best matches with the option C) 256 kPa (considering rounding and approximation). However, since our calculated value is 257 kPa, it's clear there might have been an approximation during rounding in the options, but option C is the closest match.

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