Avogadro's law calculator
Calculations related to Avogadro's law. Enter known values (e.g. volume or number of moles) and select which value you want to find out (e.g. molar volume) and we'll show you step-by-step how to transform basic formula and reach your result in desired units.

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Calculations data - enter values, that you know here#

Number of moles (n)
Volume (V)
Molar volume (Vm)
Volume of first gas (V1)
Volume of second gas (V2)
Number of moles of first gas (n1)
Number of moles of second gas (n2)

Units normalization#

Volume (V)Show source22.41 [dm3] = 2241100 [dm3]22.41\ \left[dm^3\right]\ =\ \frac{2241}{100}\ \left[dm^3\right]
Molar volume (Vm)Show source22.41 [dm3mol] = 2241100 [dm3mol]22.41\ \left[\frac{dm^3}{mol}\right]\ =\ \frac{2241}{100}\ \left[\frac{dm^3}{mol}\right]
Number of moles (n)
Volume of second gas (V2)
Number of moles of second gas (n2)
Number of moles of first gas (n1)
Volume of first gas (V1)

Result: Number of moles (n)#

Used formulaShow sourcen=VVm n=\frac{\mathrm{V}}{ Vm}
ResultShow source11
Numerical resultShow source1 [mol]1\ \left[mol\right]
Result step by step
1Show source22411002241100\frac{\frac{2241}{100}}{\frac{2241}{100}}Multiply by inverse
2Show source22411001002241\frac{2241}{100}\cdot\frac{100}{2241}Multipled fractions
3Show source(2241100)(1002241)\frac{\left(2241\cdot100\right)}{\left(100\cdot2241\right)}Cancel terms
4Show source100100\frac{100}{100}Finds out greatest common divisor (GCD)
5Show source(1100)(1100)\frac{\left(1\cdot100\right)}{\left(1\cdot100\right)}Cancels out greatest common divisor (GCD)
6Show source11Result
Numerical result step by step
1Show source11Result
Units normalization
Show source1 [mol]1\ \left[mol\right]

Some facts#

  • Avogadro's law states that under the same physical conditions, i.e. at the same temperature and pressure, equal volumes of different gases contain the same number of particles (moles):
    V1n1=V2n2\dfrac{V_1}{n_1} =\dfrac{V_2}{n_2}
  • Equivalently, we can say that volume of gas is directly proportional to the number of particles (moles).
    VnV \propto n
  • The Avogadra law is a empirical, i.e. it was formulated on the basis of experiments.
  • The name of the law comes from its discoverer Amadeo Avogadro.
  • At the time Avogadro formulated his law, atomistic theory has not yet been proven and widely accepted. For this reason, we sometimes talk about Avogadro's hypothesis.
  • More general law covering also Avogadro's law is Clapeyron's equation. It cobines not only the number of moles and volume, but also temperature and pressure in one equation.

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