To determine the absolute pressure of a gas when given its gauge pressure, you need to add the atmospheric pressure to the gauge pressure. The gauge pressure is the pressure relative to atmospheric pressure, while absolute pressure is the total pressure exerted by the gas, including the atmospheric pressure.
Given:
- Gauge pressure = 156 kPa
- Atmospheric pressure = 100 kPa (standard atmospheric pressure)
Step-by-step calculation:
1. Write down the formula for absolute pressure:
[tex]\[
\text{Absolute pressure} = \text{Gauge pressure} + \text{Atmospheric pressure}
\][/tex]
2. Substitute the given values into the formula:
[tex]\[
\text{Absolute pressure} = 156 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
3. Perform the addition:
[tex]\[
\text{Absolute pressure} = 256 \, \text{kPa}
\][/tex]
Thus, the absolute pressure of the gas is 256 kPa.
The best answer is:
B. 256 kPa
