Molecular kinetics

Amount of substance (moles)
ν = N / N_A
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Molar mass
M = m / ν
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Mass of the molecule
m0 = m / N
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Molar mass
M = m0 * N_A
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Number of molecules
N = m * N_A / M
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Kinetic theory formula
p = 1/3 n m0  v^2
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Inner energy of molecules
E = m v^2 / 2
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Pressure of perfect gas
p = 2/3 nE
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Concentration of molecules
n = N / V
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Gas pressure, volume and average kinetic energy
pV / N = 2E / 3
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Gas: pressure, volume, temperature
pV / N = kT
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Average kinetic energy
E = 3 kT/2
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Gas: pressure, concentration, temperature
p = n k T
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Gas: amount of substance, volume
ν = V / V_M
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Root-mean-square velocity of a gas molecule
v = saknis(3kT / m0)
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Ideal gas law (Mendeleev - Clapeyron equation)
pV = mR*T / M
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Ideal gas law (Mendeleev - Clapeyron equation)
pV / T = νR
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Boyle and Mariotte law (isothermal process)
p1 V1 = p2 V2
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Gay-Lussac\'s law (isobaric process)
V1 / T1 = V2 / T2
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Thermal expansion of gas
V = V0 α T
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Charles\'s law (isochoric process)
p1 / T1 = p2 / T2
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The temperature dependence of the gas pressure
p = p0 γ T
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