44distribution is a probability distribution that describes the distribution of 
55speeds of particles in an ideal gas. 
66
7- The distribution is given by the following equation: 
7+ The distribution is given by the following equation::  
88
99        ------------------------------------------------- 
1010        | f(v) = (M/2πRT)^(3/2) * 4πv^2 * e^(-Mv^2/2RT) | 
1111        ------------------------------------------------- 
1212
1313where: 
14-     f(v) is the fraction of molecules with a speed v  
15-     M  is the molar mass of the gas in kg/mol 
16-     R  is the gas constant 
17-     T  is the absolute temperature 
14+     * `` f(v)``  is the fraction of molecules with a speed ``v``  
15+     * ``M``  is the molar mass of the gas in kg/mol 
16+     * ``R``  is the gas constant 
17+     * ``T``  is the absolute temperature 
1818
1919More information about the Maxwell-Boltzmann distribution can be found here: 
2020https://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_distribution 
2121
2222The average speed can be calculated by integrating the Maxwell-Boltzmann distribution 
23- from 0 to infinity and dividing by the total number of molecules. The result is: 
23+ from 0 to infinity and dividing by the total number of molecules. The result is::  
2424
25-         --------------------- 
26-         | vavg  = √(8RT/πM)  | 
27-         --------------------- 
25+         ----------------------  
26+         | v_avg  = √(8RT/πM)  | 
27+         ----------------------  
2828
2929The most probable speed is the speed at which the Maxwell-Boltzmann distribution 
3030is at its maximum. This can be found by differentiating the Maxwell-Boltzmann 
31- distribution with respect to v  and setting the result equal to zero. The result is: 
31+ distribution with respect to ``v``  and setting the result equal to zero. The result is: : 
3232
33-         --------------------- 
34-         | vmp  = √(2RT/M)    | 
35-         --------------------- 
33+         ----------------------  
34+         | v_mp  = √(2RT/M)    | 
35+         ----------------------  
3636
3737The root-mean-square speed is another measure of the average speed 
3838of the molecules in a gas. It is calculated by taking the square root 
39- of the average of the squares of the speeds of the molecules. The result is: 
39+ of the average of the squares of the speeds of the molecules. The result is::  
4040
41-         --------------------- 
42-         | vrms  = √(3RT/M)   | 
43-         --------------------- 
41+         ----------------------  
42+         | v_rms  = √(3RT/M)   | 
43+         ----------------------  
4444
4545Here we have defined functions to calculate the average and 
4646most probable speeds of molecules in a gas given the 
@@ -57,6 +57,7 @@ def avg_speed_of_molecule(temperature: float, molar_mass: float) -> float:
5757    and returns the average speed of a molecule in the gas (in m/s). 
5858
5959    Examples: 
60+ 
6061    >>> avg_speed_of_molecule(273, 0.028) # nitrogen at 273 K 
6162    454.3488755020387 
6263    >>> avg_speed_of_molecule(300, 0.032) # oxygen at 300 K 
@@ -84,6 +85,7 @@ def mps_speed_of_molecule(temperature: float, molar_mass: float) -> float:
8485    and returns the most probable speed of a molecule in the gas (in m/s). 
8586
8687    Examples: 
88+ 
8789    >>> mps_speed_of_molecule(273, 0.028) # nitrogen at 273 K 
8890    402.65620701908966 
8991    >>> mps_speed_of_molecule(300, 0.032) # oxygen at 300 K 
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