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* Added functions to calculate temperature of an ideal gas and number of moles of an ideal gas * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update physics/ideal_gas_law.py Renamed function name Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com> * Update physics/ideal_gas_law.py Updated formatting Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com> * Update physics/ideal_gas_law.py Removed unnecessary parentheses Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com> * Update physics/ideal_gas_law.py Removed unnecessary parentheses Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com> * Update ideal_gas_law.py Updated incorrect function calls moles of gas system doctests * Update physics/ideal_gas_law.py --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com>
94 lines
3.0 KiB
Python
94 lines
3.0 KiB
Python
"""
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The ideal gas law, also called the general gas equation, is the
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equation of state of a hypothetical ideal gas. It is a good approximation
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of the behavior of many gases under many conditions, although it has
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several limitations. It was first stated by Benoît Paul Émile Clapeyron
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in 1834 as a combination of the empirical Boyle's law, Charles's law,
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Avogadro's law, and Gay-Lussac's law.[1] The ideal gas law is often written
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in an empirical form:
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------------
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| PV = nRT |
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------------
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P = Pressure (Pa)
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V = Volume (m^3)
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n = Amount of substance (mol)
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R = Universal gas constant
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T = Absolute temperature (Kelvin)
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(Description adapted from https://en.wikipedia.org/wiki/Ideal_gas_law )
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"""
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UNIVERSAL_GAS_CONSTANT = 8.314462 # Unit - J mol-1 K-1
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def pressure_of_gas_system(moles: float, kelvin: float, volume: float) -> float:
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"""
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>>> pressure_of_gas_system(2, 100, 5)
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332.57848
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>>> pressure_of_gas_system(0.5, 273, 0.004)
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283731.01575
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>>> pressure_of_gas_system(3, -0.46, 23.5)
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Traceback (most recent call last):
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...
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ValueError: Invalid inputs. Enter positive value.
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"""
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if moles < 0 or kelvin < 0 or volume < 0:
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raise ValueError("Invalid inputs. Enter positive value.")
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return moles * kelvin * UNIVERSAL_GAS_CONSTANT / volume
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def volume_of_gas_system(moles: float, kelvin: float, pressure: float) -> float:
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"""
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>>> volume_of_gas_system(2, 100, 5)
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332.57848
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>>> volume_of_gas_system(0.5, 273, 0.004)
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283731.01575
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>>> volume_of_gas_system(3, -0.46, 23.5)
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Traceback (most recent call last):
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...
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ValueError: Invalid inputs. Enter positive value.
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"""
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if moles < 0 or kelvin < 0 or pressure < 0:
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raise ValueError("Invalid inputs. Enter positive value.")
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return moles * kelvin * UNIVERSAL_GAS_CONSTANT / pressure
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def temperature_of_gas_system(moles: float, volume: float, pressure: float) -> float:
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"""
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>>> temperature_of_gas_system(2, 100, 5)
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30.068090996146232
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>>> temperature_of_gas_system(11, 5009, 1000)
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54767.66101807144
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>>> temperature_of_gas_system(3, -0.46, 23.5)
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Traceback (most recent call last):
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...
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ValueError: Invalid inputs. Enter positive value.
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"""
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if moles < 0 or volume < 0 or pressure < 0:
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raise ValueError("Invalid inputs. Enter positive value.")
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return pressure * volume / (moles * UNIVERSAL_GAS_CONSTANT)
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def moles_of_gas_system(kelvin: float, volume: float, pressure: float) -> float:
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"""
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>>> moles_of_gas_system(100, 5, 10)
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0.06013618199229246
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>>> moles_of_gas_system(110, 5009, 1000)
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5476.766101807144
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>>> moles_of_gas_system(3, -0.46, 23.5)
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Traceback (most recent call last):
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...
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ValueError: Invalid inputs. Enter positive value.
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"""
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if kelvin < 0 or volume < 0 or pressure < 0:
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raise ValueError("Invalid inputs. Enter positive value.")
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return pressure * volume / (kelvin * UNIVERSAL_GAS_CONSTANT)
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if __name__ == "__main__":
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from doctest import testmod
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testmod()
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