Answer :
To find the absolute pressure of a gas, you need to add the gauge pressure to the atmospheric pressure. Absolute pressure is the total pressure exerted by a gas, including the atmospheric pressure.
Here's the step-by-step solution:
1. Understand the pressures involved:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. In this problem, it is given as 114 kPa.
- Atmospheric Pressure: This is the pressure exerted by the atmosphere at sea level, which is approximately 100 kPa.
2. Calculate the Absolute Pressure:
- The formula to calculate absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Substitute the given values into the formula:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
3. Select the correct option:
- The absolute pressure calculated is 214 kPa, which matches option B.
Therefore, the answer is B. 214 kPa.
Here's the step-by-step solution:
1. Understand the pressures involved:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. In this problem, it is given as 114 kPa.
- Atmospheric Pressure: This is the pressure exerted by the atmosphere at sea level, which is approximately 100 kPa.
2. Calculate the Absolute Pressure:
- The formula to calculate absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Substitute the given values into the formula:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
3. Select the correct option:
- The absolute pressure calculated is 214 kPa, which matches option B.
Therefore, the answer is B. 214 kPa.
