Question

Определить длину свободного пробега электрона в трубке,заполненной разреженным азотом,в момент возникновения ударной ионизации,если напряженность электрического поля между электродами трубки 20кВ/м,а работа ионизации молекулы азота равна 15,8 эВ

Answer 1

извини пожалуйста,очень надо   

Answer 2

Determining the Free Path Length of an Electron in a Tube Filled with Rarefied Nitrogen

To determine the length of the free path of an electron in a tube filled with rarefied nitrogen at the moment of the onset of shock ionization, we can use the following formula:

\[1\] The free path length of an electron in a gas can be calculated using the formula:

\[ \lambda = \frac{1}{{\sqrt{2} \cdot \pi \cdot n \cdot d^2}} \]

Where: - \(\lambda\) = mean free path length - \(n\) = number density of the gas - \(d\) = diameter of the gas molecules

The number density of the gas can be calculated using the ideal gas law:

\[ n = \frac{P}{kT} \]

Where: - \(P\) = pressure - \(k\) = Boltzmann constant - \(T\) = temperature

The diameter of the gas molecules can be calculated using the Van der Waals equation:

\[ d = \frac{{3kT}}{{8\pi P}} \]

Applying the Given Parameters

Given: - Electric field intensity (\(E\)) = 20 kV/m - Ionization energy of nitrogen (\(W\)) = 15.8 eV

First, we need to convert the ionization energy from electron volts to joules:

\[ W = 15.8 \times 1.6 \times 10^{-19} \]

Calculating the Number Density of the Gas

The number density of the gas can be calculated using the ideal gas law:

\[ n = \frac{P}{kT} \]

Given that the pressure and temperature are not provided, we are unable to calculate the number density without this information.

Calculating the Diameter of the Gas Molecules

The diameter of the gas molecules can be calculated using the Van der Waals equation:

\[ d = \frac{{3kT}}{{8\pi P}} \]