Answer :
To find the absolute pressure of a gas when its gauge pressure is given, we should follow these steps:
1. Understand the Definitions:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It's the reading you typically get from pressure gauges.
- Absolute Pressure is the total pressure of a system, including the atmospheric pressure. It's the sum of the gauge pressure and atmospheric pressure.
2. Given Information:
- Gauge Pressure = 156 kPa
- Atmospheric Pressure ≈ 100 kPa (at sea level, in approximate terms)
3. Calculate Absolute Pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Substitute the values into the formula:
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
- Calculate the result:
[tex]\[
\text{Absolute Pressure} = 256 \, \text{kPa}
\][/tex]
So, the absolute pressure is 256 kPa, which corresponds to option A: 256 kPa.
1. Understand the Definitions:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It's the reading you typically get from pressure gauges.
- Absolute Pressure is the total pressure of a system, including the atmospheric pressure. It's the sum of the gauge pressure and atmospheric pressure.
2. Given Information:
- Gauge Pressure = 156 kPa
- Atmospheric Pressure ≈ 100 kPa (at sea level, in approximate terms)
3. Calculate Absolute Pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Substitute the values into the formula:
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
- Calculate the result:
[tex]\[
\text{Absolute Pressure} = 256 \, \text{kPa}
\][/tex]
So, the absolute pressure is 256 kPa, which corresponds to option A: 256 kPa.
