Answer :
- Absolute pressure is the sum of gauge pressure and atmospheric pressure.
- Assume standard atmospheric pressure is approximately 100 kPa.
- Calculate: Absolute Pressure = 114 kPa + 100 kPa = 214 kPa.
- The absolute pressure is \boxed{214 kPa}.
### Explanation
1. Understanding the Problem
We are given the gauge pressure of a gas as 114 kPa and asked to find the absolute pressure. Absolute pressure is the sum of gauge pressure and atmospheric pressure. Since the atmospheric pressure is not explicitly given, we will assume standard atmospheric pressure, which is approximately 101.325 kPa. We can also approximate it as 100 kPa for simplicity, as the options are integers.
2. Stating the Formula
We will use the formula: Absolute Pressure = Gauge Pressure + Atmospheric Pressure.
3. Calculation with 100 kPa Atmospheric Pressure
Assuming atmospheric pressure is 100 kPa, we have: Absolute Pressure = 114 kPa + 100 kPa = 214 kPa.
4. Calculation with 101.325 kPa Atmospheric Pressure
If we assume atmospheric pressure is 101.325 kPa, then Absolute Pressure = 114 kPa + 101.325 kPa = 215.325 kPa. The closest answer among the options is 214 kPa.
5. Final Answer
Therefore, the best answer is 214 kPa.
### Examples
Understanding absolute pressure is crucial in many real-world applications, such as scuba diving, where divers need to know the total pressure exerted on them by the water and the atmosphere. Similarly, in weather forecasting, absolute pressure measurements are used to predict changes in weather patterns. In industrial processes, accurate pressure readings are essential for controlling and optimizing various systems, ensuring safety and efficiency.
- Assume standard atmospheric pressure is approximately 100 kPa.
- Calculate: Absolute Pressure = 114 kPa + 100 kPa = 214 kPa.
- The absolute pressure is \boxed{214 kPa}.
### Explanation
1. Understanding the Problem
We are given the gauge pressure of a gas as 114 kPa and asked to find the absolute pressure. Absolute pressure is the sum of gauge pressure and atmospheric pressure. Since the atmospheric pressure is not explicitly given, we will assume standard atmospheric pressure, which is approximately 101.325 kPa. We can also approximate it as 100 kPa for simplicity, as the options are integers.
2. Stating the Formula
We will use the formula: Absolute Pressure = Gauge Pressure + Atmospheric Pressure.
3. Calculation with 100 kPa Atmospheric Pressure
Assuming atmospheric pressure is 100 kPa, we have: Absolute Pressure = 114 kPa + 100 kPa = 214 kPa.
4. Calculation with 101.325 kPa Atmospheric Pressure
If we assume atmospheric pressure is 101.325 kPa, then Absolute Pressure = 114 kPa + 101.325 kPa = 215.325 kPa. The closest answer among the options is 214 kPa.
5. Final Answer
Therefore, the best answer is 214 kPa.
### Examples
Understanding absolute pressure is crucial in many real-world applications, such as scuba diving, where divers need to know the total pressure exerted on them by the water and the atmosphere. Similarly, in weather forecasting, absolute pressure measurements are used to predict changes in weather patterns. In industrial processes, accurate pressure readings are essential for controlling and optimizing various systems, ensuring safety and efficiency.
