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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Symbolic algebra

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I know volume (V) and molar volume (Vm) and want to calculate number of moles (n)I know number of moles (n) and molar volume (Vm) and want to calculate volume (V)I know volume (V) and number of moles (n) and want to calculate molar volume (Vm)I know volume of second gas (V2), number of moles of second gas (n2) and number of moles of first gas (n1) and want to calculate volume of first gas (V1)I know volume of first gas (V1), number of moles of first gas (n1) and number of moles of second gas (n2) and want to calculate volume of second gas (V2)I know number of moles of second gas (n2), volume of second gas (V2) and volume of first gas (V1) and want to calculate number of moles of first gas (n1)I know number of moles of first gas (n1), volume of first gas (V1) and volume of second gas (V2) and want to calculate number of moles of second gas (n2)

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 source $22.41\ \left[dm^3\right]\ =\ \frac{2241}{100}\ \left[dm^3\right]$
Molar volume (Vm)	Show source $22.41\ \left[\frac{dm^3}{mol}\right]\ =\ \frac{2241}{100}\ \left[\frac{dm^3}{mol}\right]$
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)#

Summary

Used formula

Show source

n=\frac{\mathrm{V}}{Vm}

Result

Show source

1

Numerical result

Show source

1\ \left[mol\right]

Result step by step

1	Show source $\frac{\frac{2241}{100}}{\frac{2241}{100}}$	Removed double fractional mark	Divide by fraction is the same as multiply by fraction inverse: $\frac{a}{\frac{c}{b}} = a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$
2	Show source $\frac{2241}{\frac{2241}{100} \cdot 100}$	Removed double fractional mark	Divide by fraction is the same as multiply by fraction inverse: $\frac{a}{\frac{c}{b}} = a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$
3	Show source $\frac{2241 \cdot 100}{2241 \cdot 100}$	Simplify arithmetic	-
4	Show source $\frac{224100}{2241 \cdot 100}$	Simplify arithmetic	-
5	Show source $\frac{\cancel{224100}}{\cancel{224100}}$	Cancel terms or fractions	Dividing a number by itself gives one, colloquially we say that such numbers "cancel-out": $\frac{\cancel{a}}{\cancel{a}} = 1$ to find-out the simplest form of fraction we can divide the numerator and denominator by the greatest common divisor (GCD) of both numbers.
6	Show source $1$	Result	Your expression reduced to the simplest form known to us.

Numerical result step by step

1	Show source $1$	The original expression	-
2	Show source $1$	Result	Your expression reduced to the simplest form known to us.

Units normalization

Show source

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):

$\dfrac{V_1}{n_1} =\dfrac{V_2}{n_2}$
where:
- $V_1$ - volume of first gas,
- $V_2$ - volume of second gas,
- $n_1$ - number of moles of first gas,
- $n_2$ - number of moles of second gas.
Equivalently, we can say that volume of gas is directly proportional to the number of particles (moles).

$V \propto n$
- $V$ - volume of gas,
- $n$ - number of moles of gas
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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avogadro_law · avogadro_equation · avogadros_hypothesis · avogadros_principle

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prawo_avogadra · rownanie_avogadra · hipoteza_avogadra · regula_avogadra

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CALCULATOR · CHEMISTRY · PHYSICS · A -> Z (all)

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https://calculla.com/avogadro_law?ioVolume=$symbolic(22.41)&ioMolarVolume=$symbolic(22.41)&ioNumberOfMolesUnitId=mol&ioVolumeUnitId=dm3&ioMolarVolumeUnitId=dm3_per_mol&ioNumberOfMoles1UnitId=mol&ioNumberOfMoles2UnitId=mol&ioVolume1UnitId=dm3&ioVolume2UnitId=dm3&ioIntentSchemeId=want_ioNumberOfMoles

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