Pressure Measurement Problem

In summary, Blaise Pascal duplicated Torricelli's barometer using red Bordeaux wine of density 984 kg/m^3. To find the height of the wine column for normal atmospheric pressure, use Pascal's formula P=Po+(row)(g)(h). However, for the vacuum above the column to be as good as for mercury, the length of the tube should be >14 times bigger. The pressure in the equation refers to the force due to the atmosphere (Po) and vacuum (P=0) balancing the force of the liquid column. The correct answer is therefore a positive value, not -10.5. The density used in this calculation is for wine, not mercury.
  • #1
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Blaise Pascal duplicated Torricelli's barometer using a red Bordeaux win, of density 984 kg/m^3, as the working liquid. What was the height of the wine column for normal atmospheric pressure? Would you expect the vacuum above the column to be as good as for mercury?
 
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  • #2
The first question is trivial.Use Pascal's formula.

Daniel.
 
  • #3
So that is P=Po+(row)(g)(h)
P=1.013*10^5+(984kg/m^3)(9.8)(h)...is this correct?
 
  • #4
No.It should be vacuum on top of the wine...

Daniel.
 
  • #5
I don't understand what you are saying.
 
  • #6
I'm saying that the experiment should be the same as in the case of Torricelli,but the length of the tube be >14 times bigger.

Daniel.
 
  • #7
imnotsmart said:
So that is P=Po+(row)(g)(h)
P=1.013*10^5+(984kg/m^3)(9.8)(h)...is this correct?
What is P in this equation ?
 
  • #8
P is suppose to be the pressure, but I am not sure what that is...I don't get this problem at all.
 
  • #9
There is no other P involved.

On one side of the column, you have atmospheric pressure (Po). On the other side, you have vacuum (P=0). So, the force due to the liquid column must balance the force due to the atmosphere.
 
  • #10
So is the answer -10.5?
 
  • #11
It should be a plus.But yeah,it's good.

Daniel.
 
  • #12
Is it good for mercury?
 
  • #13
What?That #?Nope,it's computed for wine.

Daniel.
 
  • #14
thanks for your help buddy...
 
  • #15
Remember, you used the density of wine, not the density of mercury.
 
1.

What is pressure measurement problem?

Pressure measurement problem refers to the challenges faced in accurately measuring the pressure of a substance or system. This can be due to various factors such as the type of pressure being measured, the equipment used for measurement, and external factors that can affect the measurement.

2.

Why is it important to accurately measure pressure?

Accurate pressure measurement is crucial in many industries, including engineering, manufacturing, and healthcare. It helps in ensuring the safety and efficiency of systems, determining the performance of equipment, and monitoring processes to maintain quality control.

3.

What are the common methods used for pressure measurement?

The most commonly used methods for pressure measurement include manometers, bourdon tubes, diaphragm gauges, and pressure transducers. Each method has its advantages and limitations, and the choice of method depends on the specific application and accuracy requirements.

4.

What are some sources of error in pressure measurement?

Some sources of error in pressure measurement include environmental factors such as temperature and humidity, equipment limitations, human error, and the properties of the substance being measured. It is important to consider and minimize these factors to ensure accurate measurements.

5.

How can pressure measurement problems be solved?

Pressure measurement problems can be solved by using appropriate equipment and techniques, calibrating instruments regularly, and accounting for external factors. In some cases, it may also be necessary to troubleshoot and repair equipment or make adjustments to the process being measured.

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