Answer :
To find the absolute pressure of a gas when its gauge pressure is given, you need to add the atmospheric pressure to the gauge pressure. Here's the process step-by-step:
1. Understand Gauge Pressure:
Gauge pressure is the pressure of the gas above atmospheric pressure. It does not include the atmospheric pressure. In this case, the gauge pressure is given as 156 kPa.
2. Atmospheric Pressure:
Atmospheric pressure is the pressure exerted by the weight of the atmosphere. At sea level, it is approximately 101.3 kPa.
3. Calculate Absolute Pressure:
Absolute pressure is the total pressure of the gas, including atmospheric pressure. To find the absolute pressure, use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
4. Perform the Calculation:
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 101.3 \, \text{kPa}
= 257.3 \, \text{kPa}
\][/tex]
So, the absolute pressure of the gas is approximately 257.3 kPa. The closest answer choice is C. 256 kPa.
1. Understand Gauge Pressure:
Gauge pressure is the pressure of the gas above atmospheric pressure. It does not include the atmospheric pressure. In this case, the gauge pressure is given as 156 kPa.
2. Atmospheric Pressure:
Atmospheric pressure is the pressure exerted by the weight of the atmosphere. At sea level, it is approximately 101.3 kPa.
3. Calculate Absolute Pressure:
Absolute pressure is the total pressure of the gas, including atmospheric pressure. To find the absolute pressure, use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
4. Perform the Calculation:
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 101.3 \, \text{kPa}
= 257.3 \, \text{kPa}
\][/tex]
So, the absolute pressure of the gas is approximately 257.3 kPa. The closest answer choice is C. 256 kPa.
