physics.grahams_law

Title: Graham’s Law of Effusion

Description: Graham’s law of effusion states that the rate of effusion of a gas is inversely proportional to the square root of the molar mass of its particles:

r1/r2 = sqrt(m2/m1)

r1 = Rate of effusion for the first gas. r2 = Rate of effusion for the second gas. m1 = Molar mass of the first gas. m2 = Molar mass of the second gas.

(Description adapted from https://en.wikipedia.org/wiki/Graham%27s_law)

Functions

effusion_ratio(→ float | ValueError)	Input Parameters:
first_effusion_rate(→ float | ValueError)	Input Parameters:
first_molar_mass(→ float | ValueError)	Input Parameters:
second_effusion_rate(→ float | ValueError)	Input Parameters:
second_molar_mass(→ float | ValueError)	Input Parameters:
validate(→ bool)	Input Parameters:

Module Contents

physics.grahams_law.effusion_ratio(molar_mass_1: float, molar_mass_2: float) → float | ValueError

Input Parameters:

molar_mass_1: Molar mass of the first gas (g/mol, kg/kmol, etc.) molar_mass_2: Molar mass of the second gas (g/mol, kg/kmol, etc.)

Returns:

>>> effusion_ratio(2.016, 4.002)
1.408943
>>> effusion_ratio(-2.016, 4.002)
ValueError('Input Error: Molar mass values must greater than 0.')
>>> effusion_ratio(2.016)
Traceback (most recent call last):
  ...
TypeError: effusion_ratio() missing 1 required positional argument: 'molar_mass_2'

physics.grahams_law.first_effusion_rate(effusion_rate: float, molar_mass_1: float, molar_mass_2: float) → float | ValueError

Input Parameters:

effusion_rate: Effustion rate of second gas (m^2/s, mm^2/s, etc.) molar_mass_1: Molar mass of the first gas (g/mol, kg/kmol, etc.) molar_mass_2: Molar mass of the second gas (g/mol, kg/kmol, etc.)

Returns:

>>> first_effusion_rate(1, 2.016, 4.002)
1.408943
>>> first_effusion_rate(-1, 2.016, 4.002)
ValueError('Input Error: Molar mass and effusion rate values must greater than 0.')
>>> first_effusion_rate(1)
Traceback (most recent call last):
  ...
TypeError: first_effusion_rate() missing 2 required positional arguments: 'molar_mass_1' and 'molar_mass_2'
>>> first_effusion_rate(1, 2.016)
Traceback (most recent call last):
  ...
TypeError: first_effusion_rate() missing 1 required positional argument: 'molar_mass_2'

physics.grahams_law.first_molar_mass(molar_mass: float, effusion_rate_1: float, effusion_rate_2: float) → float | ValueError

Input Parameters:

molar_mass: Molar mass of the first gas (g/mol, kg/kmol, etc.) effusion_rate_1: Effustion rate of first gas (m^2/s, mm^2/s, etc.) effusion_rate_2: Effustion rate of second gas (m^2/s, mm^2/s, etc.)

Returns:

>>> first_molar_mass(2, 1.408943, 0.709752)
0.507524
>>> first_molar_mass(-1, 2.016, 4.002)
ValueError('Input Error: Molar mass and effusion rate values must greater than 0.')
>>> first_molar_mass(1)
Traceback (most recent call last):
  ...
TypeError: first_molar_mass() missing 2 required positional arguments: 'effusion_rate_1' and 'effusion_rate_2'
>>> first_molar_mass(1, 2.016)
Traceback (most recent call last):
  ...
TypeError: first_molar_mass() missing 1 required positional argument: 'effusion_rate_2'

physics.grahams_law.second_effusion_rate(effusion_rate: float, molar_mass_1: float, molar_mass_2: float) → float | ValueError

Input Parameters:

effusion_rate: Effustion rate of second gas (m^2/s, mm^2/s, etc.) molar_mass_1: Molar mass of the first gas (g/mol, kg/kmol, etc.) molar_mass_2: Molar mass of the second gas (g/mol, kg/kmol, etc.)

Returns:

>>> second_effusion_rate(1, 2.016, 4.002)
0.709752
>>> second_effusion_rate(-1, 2.016, 4.002)
ValueError('Input Error: Molar mass and effusion rate values must greater than 0.')
>>> second_effusion_rate(1)
Traceback (most recent call last):
  ...
TypeError: second_effusion_rate() missing 2 required positional arguments: 'molar_mass_1' and 'molar_mass_2'
>>> second_effusion_rate(1, 2.016)
Traceback (most recent call last):
  ...
TypeError: second_effusion_rate() missing 1 required positional argument: 'molar_mass_2'

physics.grahams_law.second_molar_mass(molar_mass: float, effusion_rate_1: float, effusion_rate_2: float) → float | ValueError

Input Parameters:

molar_mass: Molar mass of the first gas (g/mol, kg/kmol, etc.) effusion_rate_1: Effustion rate of first gas (m^2/s, mm^2/s, etc.) effusion_rate_2: Effustion rate of second gas (m^2/s, mm^2/s, etc.)

Returns:

>>> second_molar_mass(2, 1.408943, 0.709752)
1.970351
>>> second_molar_mass(-2, 1.408943, 0.709752)
ValueError('Input Error: Molar mass and effusion rate values must greater than 0.')
>>> second_molar_mass(1)
Traceback (most recent call last):
  ...
TypeError: second_molar_mass() missing 2 required positional arguments: 'effusion_rate_1' and 'effusion_rate_2'
>>> second_molar_mass(1, 2.016)
Traceback (most recent call last):
  ...
TypeError: second_molar_mass() missing 1 required positional argument: 'effusion_rate_2'

physics.grahams_law.validate(*values: float) → bool

Input Parameters:

effusion_rate_1: Effustion rate of first gas (m^2/s, mm^2/s, etc.) effusion_rate_2: Effustion rate of second gas (m^2/s, mm^2/s, etc.) molar_mass_1: Molar mass of the first gas (g/mol, kg/kmol, etc.) molar_mass_2: Molar mass of the second gas (g/mol, kg/kmol, etc.)

Returns:

>>> validate(2.016, 4.002)
True
>>> validate(-2.016, 4.002)
False
>>> validate()
False