Thermodynamics Manometer Problem

In summary, the pressure in a pressurized water tank can be measured using a multi-fluid manometer. The air pressure in the tank is assumed to be uniform and the pressure at the air-water interface can be determined. The densities of mercury, water, and oil are given and the analysis involves moving along the tube and adding or subtracting ρgh terms until reaching a point where the result is equal to atmospheric pressure. However, without a diagram of the system and the reference text, it is difficult to fully understand the problem.
  • #1
boyongo
27
0
The pressure in a pressurized water tank is measured by a multi-fluid manometer. The gage pressure of air in the tank is to be determined.

Assumptions: The air pressure in the tank is uniform (i.e., its variation with elevation is negligible due to its low density), and thus we can determine the pressure at the air-water interface.

Properties: The densities of mercury, water, and oil are given to be 13,600, 1000, and 850 kg/m3, respectively.

Analysis: Starting with the pressure at point 1 at the air-water interface, and moving along the tube by adding (as we go down) or subtracting (as we go up) th e ρgh terms until we reach point 2, and setting the result equal to Patm since the tube is open to the atmosphere gives:

P1+ρ gh(water) +ρgh(oil)−ρgh(mercury)=Patm

I can't figure out the: moving along the tube adding (as we go down) or subtracting (as we go up) part.

This is an exercise problem from This textbook: Thermodynamics: An Engineering Approach Seventh Edition Yunus A. Cengel, Michael A. Boles McGraw-Hill, 2011
Problem: 53 chapter 1.
 
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  • #2
Most members do not have the reference text. Without a diagram of the system, it is hard to guess what the layout looks like.
 

1. What is a thermodynamics manometer problem?

A thermodynamics manometer problem is a physics problem that involves the use of a manometer, a device used to measure pressure, to solve for unknown variables in a thermodynamic system. These problems typically involve the application of the laws of thermodynamics and the ideal gas law.

2. How do you solve a thermodynamics manometer problem?

To solve a thermodynamics manometer problem, you first need to draw a diagram of the system and label all known and unknown variables. Then, you can use the ideal gas law and the laws of thermodynamics, including the first and second laws, to set up and solve equations for the unknown variables.

3. What is the ideal gas law?

The ideal gas law, also known as the universal gas law, is a fundamental equation in thermodynamics that relates the pressure, volume, and temperature of an ideal gas. It can be written as PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.

4. What are the first and second laws of thermodynamics?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted from one form to another. The second law of thermodynamics states that the total entropy of a closed system always increases over time, meaning that energy spontaneously tends to spread out and become more dispersed.

5. What are some real-world applications of thermodynamics manometer problems?

Thermodynamics manometer problems have many practical applications, such as in the design and operation of engines, power plants, and refrigeration systems. They are also used in the study of fluid mechanics and in the analysis of atmospheric and oceanic systems. Additionally, understanding thermodynamics manometer problems is important for engineers and scientists working in fields such as aerospace, chemical, and mechanical engineering.

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