Gas impingement flux, problem in substituting constants

In summary, the gas impingement flux density is given by the equation ∅=P/\sqrt{}2mkT, where m is the mass of a molecule. It is then shown that ∅=3.513*1022P/\sqrt{}MT, where pressure is in torr and M is the molar mass of the molecule. The resulting ∅ is in molecules per cm2 per second. The equation can be derived by substituting 1/133 to convert the pressure scale to torr, multiplying by the square root of Avogadro's number, and dividing by the square root of 2∏k. However, a factor of π may have been left out in the square root of the equation
  • #1
jjshan
4
0

Homework Statement


gas impingement flux density is given by ∅=P/[itex]\sqrt{}2mkT[/itex]
where m- mass of a molecule

show that
∅=3.513*1022P/[itex]\sqrt{}MT[/itex]
where pressure in torr and M-molar mass of molecule
then ∅ in molecules per cm2 per second

Homework Equations




∅=3.513*1022P/[itex]\sqrt{}MT[/itex]
where pressure in torr and M-molar mass of molecule
then ∅ in molecules per cm2 per second

The Attempt at a Solution



i substitute 1/133 to change pressure scale to torr and multiply by square root of Avogadro no and divide it by square root of 2∏k but i couldn't get appropriate constant. how derive the equation in given scale?
 
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  • #2
jjshan said:
Homework Statement
gas impingement flux density is given by ∅=P/[itex]\sqrt{}2mkT[/itex]
where m- mass of a molecule

It looks like you left out a factor of ##\pi## in the square root of the equation.

Consider:

What are the units of ∅ in the SI system?

What are the units of m in SI system?

What are the units of M?
 

Related to Gas impingement flux, problem in substituting constants

What is gas impingement flux?

Gas impingement flux refers to the measurement of the amount of gas (usually in moles per unit area) that is being transferred or exchanged between two surfaces. It is commonly used in studies of gas-solid interactions and is an important factor in processes such as corrosion and catalysis.

What is the problem with substituting constants in gas impingement flux calculations?

The main problem with substituting constants in gas impingement flux calculations is that it can lead to inaccurate results. This is because the constants used in the calculation are often dependent on various parameters such as temperature, pressure, and gas composition. By substituting constants, these dependencies are not taken into account and can result in significant errors.

Why is gas impingement flux important in scientific research?

Gas impingement flux is important in scientific research because it provides a quantitative measure of gas-surface interactions. By accurately measuring the amount of gas being transferred, scientists can better understand the underlying mechanisms and processes involved, leading to advancements in fields such as materials science, environmental science, and chemical engineering.

What are some common techniques used to measure gas impingement flux?

Some common techniques used to measure gas impingement flux include gravimetry, mass spectrometry, and gas chromatography. Each technique has its own advantages and limitations, and the choice of method depends on factors such as the type of gas being studied, the sensitivity required, and the time scale of the process being measured.

How can gas impingement flux be controlled or manipulated in experiments?

Gas impingement flux can be controlled or manipulated in experiments by adjusting various parameters such as temperature, pressure, and gas flow rate. For example, in studies of corrosion, researchers may vary the gas flow rate to simulate different environmental conditions and observe the resulting changes in gas impingement flux. Additionally, the use of surface coatings or inhibitors can also affect gas impingement flux and can be used as a means of control in certain experiments.

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