What Is The Absolute Pressure If The Gauge Pressure Of A Gas Is 114 KPa?A) 214 KPa B) 50 KPa C) 220 KPa D) 14 KPa
Introduction
In the field of physics, particularly in the study of fluids and gases, it is essential to understand the concepts of absolute pressure and gauge pressure. Absolute pressure is the total pressure exerted by a gas on a surface, while gauge pressure is the pressure measured relative to atmospheric pressure. In this article, we will explore the relationship between absolute pressure and gauge pressure, and use a practical example to determine the absolute pressure of a gas given its gauge pressure.
What is Absolute Pressure?
Absolute pressure is the total pressure exerted by a gas on a surface, measured in units such as pascals (Pa) or kilopascals (kPa). It is the sum of the gauge pressure and the atmospheric pressure. Atmospheric pressure is the pressure exerted by the weight of the air in the atmosphere, and it is typically around 101.3 kPa at sea level.
What is Gauge Pressure?
Gauge pressure, on the other hand, is the pressure measured relative to atmospheric pressure. It is the pressure exerted by a gas on a surface, minus the atmospheric pressure. Gauge pressure is often measured using a pressure gauge, which is calibrated to read the pressure relative to atmospheric pressure.
Relationship Between Absolute Pressure and Gauge Pressure
The relationship between absolute pressure and gauge pressure is given by the following equation:
P_abs = P_gauge + P_atm
where P_abs is the absolute pressure, P_gauge is the gauge pressure, and P_atm is the atmospheric pressure.
Example: Determining Absolute Pressure from Gauge Pressure
Suppose we are given a gauge pressure of 114 kPa, and we want to determine the absolute pressure of the gas. We can use the equation above to solve for P_abs:
P_abs = P_gauge + P_atm = 114 kPa + 101.3 kPa = 215.3 kPa
Therefore, the absolute pressure of the gas is 215.3 kPa.
Conclusion
In conclusion, absolute pressure and gauge pressure are two related but distinct concepts in the study of fluids and gases. Absolute pressure is the total pressure exerted by a gas on a surface, while gauge pressure is the pressure measured relative to atmospheric pressure. By understanding the relationship between these two concepts, we can determine the absolute pressure of a gas given its gauge pressure.
Answer to the Question
Based on the example above, the absolute pressure of the gas is 215.3 kPa. However, this option is not available in the multiple-choice question. The closest answer is 214 kPa, which is the correct answer.
Final Answer
Introduction
In our previous article, we explored the concepts of absolute pressure and gauge pressure, and used a practical example to determine the absolute pressure of a gas given its gauge pressure. In this article, we will answer some frequently asked questions about absolute pressure and gauge pressure.
Q: What is the difference between absolute pressure and gauge pressure?
A: Absolute pressure is the total pressure exerted by a gas on a surface, while gauge pressure is the pressure measured relative to atmospheric pressure. In other words, absolute pressure is the sum of the gauge pressure and the atmospheric pressure.
Q: How do I convert gauge pressure to absolute pressure?
A: To convert gauge pressure to absolute pressure, you can use the following equation:
P_abs = P_gauge + P_atm
where P_abs is the absolute pressure, P_gauge is the gauge pressure, and P_atm is the atmospheric pressure.
Q: What is the atmospheric pressure?
A: Atmospheric pressure is the pressure exerted by the weight of the air in the atmosphere. It is typically around 101.3 kPa at sea level.
Q: How do I measure absolute pressure?
A: Absolute pressure is typically measured using a pressure gauge that is calibrated to read the pressure relative to atmospheric pressure. However, you can also use a pressure transducer or a pressure sensor to measure absolute pressure.
Q: What are some common applications of absolute pressure and gauge pressure?
A: Absolute pressure and gauge pressure are used in a wide range of applications, including:
- Aerospace engineering: Absolute pressure is used to measure the pressure of gases in aircraft and spacecraft.
- Chemical engineering: Gauge pressure is used to measure the pressure of gases in chemical reactors and pipelines.
- Medical devices: Absolute pressure is used to measure the pressure of gases in medical devices, such as ventilators and oxygen tanks.
- Industrial processes: Gauge pressure is used to measure the pressure of gases in industrial processes, such as power generation and oil refining.
Q: What are some common mistakes to avoid when working with absolute pressure and gauge pressure?
A: Some common mistakes to avoid when working with absolute pressure and gauge pressure include:
- Confusing absolute pressure and gauge pressure: Make sure to understand the difference between absolute pressure and gauge pressure before working with them.
- Not accounting for atmospheric pressure: Make sure to account for atmospheric pressure when converting gauge pressure to absolute pressure.
- Using the wrong units: Make sure to use the correct units when working with absolute pressure and gauge pressure.
Conclusion
In conclusion, absolute pressure and gauge pressure are two related but distinct concepts in the study of fluids and gases. By understanding the relationship between these two concepts, we can determine the absolute pressure of a gas given its gauge pressure. We hope that this Q&A article has helped to clarify any questions you may have had about absolute pressure and gauge pressure.
Additional Resources
If you have any further questions about absolute pressure and gauge pressure, please don't hesitate to contact us. We also recommend checking out the following resources for more information:
- National Institute of Standards and Technology (NIST): NIST provides a wealth of information on pressure measurement and calibration.
- American Society of Mechanical Engineers (ASME): ASME provides guidelines and standards for pressure measurement and calibration.
- International Organization for Standardization (ISO): ISO provides standards for pressure measurement and calibration.