Thermodynamics
Ideal Gas Law (Molecular)
Ideal gas law in terms of molecules.
Variables
PPa
Pressure
Gas pressure
Vm³
Volume
Container volume
Nunitless
Number of molecules
Total molecules
k_BJ/K
Boltzmann constant
1.38×10⁻²³
TK
Temperature
Absolute temperature
Derivation
PV = NkT where N = nNₐ and k = R/Nₐ.
Your notes
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Common questions
What is the Ideal Gas Law (Molecular) formula?
Ideal Gas Law (Molecular) is written PV = Nk_B T. Ideal gas law in terms of molecules. It belongs to Thermodynamics, under Kinetic Theory.
What are the units in PV = Nk_B T?
In SI units, P is pressure, measured in kg/(m·s²); V is volume, measured in m³; N is number of molecules (dimensionless); k_B is boltzmann constant, measured in kg·m²/(s²·K); T is temperature, measured in K.
How is the Ideal Gas Law (Molecular) formula derived?
PV = NkT where N = nNₐ and k = R/Nₐ. The result is PV = Nk_B T.