Answer :
- Absolute pressure is the sum of gauge pressure and atmospheric pressure.
- Atmospheric pressure is approximately 100 kPa.
- Given gauge pressure is 156 kPa, absolute pressure is calculated as $156 + 100 = 256$ kPa.
- The absolute pressure is approximately $\boxed{256 \text{ kPa}}.$
### Explanation
1. Understanding the Problem
The problem states that a gas has a gauge pressure of 156 kPa. We need to find the absolute pressure. We know that the absolute pressure is the sum of the gauge pressure and the atmospheric pressure. The atmospheric pressure is approximately 100 kPa.
2. Stating the Formula
The formula to calculate absolute pressure is:
Absolute Pressure = Gauge Pressure + Atmospheric Pressure
3. Substituting the Values
We are given the gauge pressure as 156 kPa and we know that the atmospheric pressure is approximately 100 kPa. Substituting these values into the formula, we get:
Absolute Pressure = 156 kPa + 100 kPa
4. Calculating the Absolute Pressure
Performing the addition, we find:
Absolute Pressure = 256 kPa
5. Final Answer
Therefore, the absolute pressure of the gas is approximately 256 kPa.
### Examples
Understanding the difference between gauge pressure and absolute pressure is crucial in many real-world applications, such as tire pressure monitoring, weather forecasting, and industrial process control. For example, when inflating a car tire, the gauge pressure indicates the pressure above atmospheric pressure. The absolute pressure, which includes atmospheric pressure, is the total pressure exerted on the tire. This concept is also vital in aviation, where accurate pressure measurements are essential for altitude determination and aircraft performance.
- Atmospheric pressure is approximately 100 kPa.
- Given gauge pressure is 156 kPa, absolute pressure is calculated as $156 + 100 = 256$ kPa.
- The absolute pressure is approximately $\boxed{256 \text{ kPa}}.$
### Explanation
1. Understanding the Problem
The problem states that a gas has a gauge pressure of 156 kPa. We need to find the absolute pressure. We know that the absolute pressure is the sum of the gauge pressure and the atmospheric pressure. The atmospheric pressure is approximately 100 kPa.
2. Stating the Formula
The formula to calculate absolute pressure is:
Absolute Pressure = Gauge Pressure + Atmospheric Pressure
3. Substituting the Values
We are given the gauge pressure as 156 kPa and we know that the atmospheric pressure is approximately 100 kPa. Substituting these values into the formula, we get:
Absolute Pressure = 156 kPa + 100 kPa
4. Calculating the Absolute Pressure
Performing the addition, we find:
Absolute Pressure = 256 kPa
5. Final Answer
Therefore, the absolute pressure of the gas is approximately 256 kPa.
### Examples
Understanding the difference between gauge pressure and absolute pressure is crucial in many real-world applications, such as tire pressure monitoring, weather forecasting, and industrial process control. For example, when inflating a car tire, the gauge pressure indicates the pressure above atmospheric pressure. The absolute pressure, which includes atmospheric pressure, is the total pressure exerted on the tire. This concept is also vital in aviation, where accurate pressure measurements are essential for altitude determination and aircraft performance.
