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Select the best answer for the question.

If the gauge pressure of a gas is 114 kPa, what is the absolute pressure?

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

Answer :

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

Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It doesn't take into account the atmospheric pressure already present in the environment.

Absolute Pressure: This is the total pressure of the gas, which includes both the gauge pressure and the atmospheric pressure.

The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]

Given:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa (assuming standard atmospheric pressure)

By substituting the known values into the formula, we get:
[tex]\[ \text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} \][/tex]

Calculating this, we find:
[tex]\[ \text{Absolute Pressure} = 214 \text{ kPa} \][/tex]

Thus, the absolute pressure is 214 kPa.

Comparing the calculated absolute pressure with the answer choices:
A. 50 kPa
B. 220 kPa
C. 214 kPa
D. 14 kPa

The correct answer is:
C. 214 kPa

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