Answer :
To find the absolute pressure when the gauge pressure of a gas is given, you need to add the atmospheric pressure to the gauge pressure. Here's how:
1. Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. According to the problem, the gauge pressure is 114 kPa.
2. Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. At sea level, this is approximately 101.3 kPa.
3. Calculate Absolute Pressure: Absolute pressure is the total pressure exerted by the gas, including the atmospheric pressure. The formula to calculate the absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
Plugging in the given values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa}
\][/tex]
4. Select the Best Answer: Out of the options provided:
- A. 220 kPa
- B. 214 kPa
- C. 14 kPa
- D. 50 kPa
The closest and most reasonable answer to 215.3 kPa is option B. 214 kPa.
So, the best answer to the question is B. 214 kPa.
1. Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. According to the problem, the gauge pressure is 114 kPa.
2. Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. At sea level, this is approximately 101.3 kPa.
3. Calculate Absolute Pressure: Absolute pressure is the total pressure exerted by the gas, including the atmospheric pressure. The formula to calculate the absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
Plugging in the given values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa}
\][/tex]
4. Select the Best Answer: Out of the options provided:
- A. 220 kPa
- B. 214 kPa
- C. 14 kPa
- D. 50 kPa
The closest and most reasonable answer to 215.3 kPa is option B. 214 kPa.
So, the best answer to the question is B. 214 kPa.
