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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# What do you want to calculate today?#

 Choose a scenario that best fits your needs 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) yottamole [Ymol]zettamole [Zmol]examole [Emol]petamole [Pmol]teramole [Tmol]gigamole [Gmol]megamole [Mmol]kilomole [kmol]hektomole [hmol]mole [mol]decimole [dmol]centimole [cmol]milimole [mmol]micromole [µmol]nanomole [nmol]pikomole [pmol]femtomole [fmol]attomole [amol]zeptomole [zmol]yoctomole [ymol]number of particles [particles] => Volume (V) cubic yottameter [Ym³]cubic zettameter [Zm³]cubic exameter [Em³]cubic petameter [Pm³]cubic terameter [Tm³]cubic gigameter [Gm³]cubic megameter [Mm³]cubic kilometer [km³]cubic hektometer [hm³]cubic meter [m³]cubic decimeter [dm³]cubic centimeter [cm³]cubic milimeter [mm³]cubic micrometer [µm³]cubic nanometer [nm³]cubic picometer [pm³]cubic femtometer [fm³]cubic attometer [am³]cubic zeptometer [zm³]cubic yoctometer [ym³]gigalitre [Gl]megalitre [Ml]kilolitre [kl]hectolitre [hl]litre [l]decilitre [dl]centilitre [cl]mililitre [ml]microlitre [µl]nanolitre [nl]picolitre [pl]femtolitre [fl]attolitre [al]lambda [λ]drop (metric)drop (medical)cubic angstroms [Å³]cubic mile [cu mi]acre-foot [ac ft]acre-inch [ac in]cubic fathom [cu fm]cubic foot [cu ft]cubic yard [cu yd]perch [per]cubic inch [cu in]hogshead [hhd]barrel (petroleum) [bl, bbl]barrel [fl bl]gallon [gal(US)]fifthquart [qt]pint [pt]gill [gi(US)]fluid once [US fl oz]fluid dram, fluidram [fl dr]jiggershotponypinchminim [min]dashdrop [gtt]drop (alt) [gtt]weyseambarrel [bl]strikesackbushel (heaped) [bu]bushel (level) [bu (lvl)]firkinpeck [pk]gallon [gal]quart [qt]pint [pt]lastwater tonhogshead [hhd]seam, pailbarrel [bl]coombsack, bag [bag]kilderkinstrikebushel [bu]bucket [bkt]peck [pk]gallon [gal]pottle, quarternquart [qt]pint [pt]fluid once [fl oz]gill, noggin [gi]fluid drachm [fl dr]fluid scruple [fl s]pinchdashdrop [gtt]drop (alt) [gtt]minim [min]register ton [RT]load unitfreight ton [FT]displacement ton [DT]cord (firewood)cord-foottimber footboard-foot [fbm]Cup (Canadian) [c]Tablespoon (Canadian) [tbsp]Teaspoon (Canadian) [tsp]Cup (Imp) [c]Breakfast cup (Imp)Tablespoon (Imp) [tbsp]Teaspoon (Imp) [tsp]Dessert spoon (Imp)Cup (US) [c]Tablespoon (US) [tbsp]Teaspoon (US) [tsp]Cup (Metric)Tablespoon (Metric)Teaspoon (Metric)tunbutt, pipebeer gallon [beer gal] <= Molar volume (Vm) cubic decimeter per mole [dm³ / mol]cubic meter per mole [m³ / mol]cubic yottameter per mole [Ym³ / mol]cubic zettameter per mole [Zm³ / mol]cubic exameter per mole [Em³ / mol]cubic petameter per mole [Pm³ / mol]cubic terameter per mole [Tm³ / mol]cubic gigameter per mole [Gm³ / mol]cubic megameter per mole [Mm³ / mol]cubic kilometer per mole [km³ / mol]cubic hektometer per mole [hm³ / mol]cubic meter per mole [m³ / mol]cubic decimeter per mole [dm³ / mol]cubic centimeter per mole [cm³ / mol]cubic milimeter per mole [mm³ / mol]cubic micrometer per mole [µm³ / mol]cubic nanometer per mole [nm³ / mol]cubic picometer per mole [pm³ / mol]cubic femtometer per mole [fm³ / mol]cubic attometer per mole [am³ / mol]cubic zeptometer per mole [zm³ / mol]cubic yoctometer per mole [ym³ / mol]gigalitre per mole [Gl / mol]megalitre per mole [Ml / mol]kilolitre per mole [kl / mol]hectolitre per mole [hl / mol]litre per mole [l / mol]decilitre per mole [dl / mol]centilitre per mole [cl / mol]mililitre per mole [ml / mol]microlitre per mole [µl / mol]nanolitre per mole [nl / mol]picolitre per mole [pl / mol]femtolitre per mole [fl / mol]attolitre per mole [al / mol]lambda per mole [λ / mol]drop (metric) per moledrop (medical) per molecubic angstroms per mole [Å³ / mol]cubic mile per mole [cu mi / mol]acre-foot per mole [ac ft / mol]acre-inch per mole [ac in / mol]cubic fathom per mole [cu fm / mol]cubic foot per mole [cu ft / mol]cubic yard per mole [cu yd / mol]perch per mole [per / mol]cubic inch per mole [cu in / mol]hogshead per mole [hhd / mol]barrel (petroleum) per mole [bbl / mol]barrel per mole [fl bl / mol]gallon per mole [gal(US) / mol]fifth per molequart per mole [qt / mol]pint per mole [pt / mol]gill per mole [gi(US) / mol]fluid once per mole [US fl oz / mol]fluid dram, fluidram per mole [fl dr / mol]jigger per moleshot per molepony per molepinch per moleminim per mole [min / mol]dash per moledrop per mole [gtt / mol]drop (alt) per mole [gtt / mol]wey per moleseam per molebarrel per mole [bl / mol]strike per molesack per molebushel (heaped) per mole [bu / mol]bushel (level) per mole [bu (lvl) / mol]firkin per molepeck per mole [pk / mol]gallon per mole [gal / mol]quart per mole [qt / mol]pint per mole [pt / mol]last per molewater ton per molehogshead per mole [hhd / mol]seam, pail per molebarrel per mole [bl / mol]coomb per molesack, bag per mole [bag / mol]kilderkin per molestrike per molebushel per mole [bu / mol]bucket per mole [bkt / mol]peck per mole [pk / mol]gallon per mole [gal / mol]pottle, quartern per molequart per mole [qt / mol]pint per mole [pt / mol]fluid once per mole [fl oz / mol]gill, noggin per mole [gi / mol]fluid drachm per mole [fl dr / mol]fluid scruple per mole [fl s / mol]pinch per moledash per moledrop per mole [gtt / mol]drop (alt) per mole [gtt / mol]minim per mole [min / mol]register ton per mole [RT / mol]load unit per molefreight ton per mole [FT / mol]displacement ton per mole [DT / mol]cord (firewood) per molecord-foot per moletimber foot per moleboard-foot per mole [fbm / mol]Cup (Canadian) per mole [c / mol]Tablespoon (Canadian) per mole [tbsp / mol]Teaspoon (Canadian) per mole [tsp / mol]Cup (Imp) per mole [c / mol]Breakfast cup (Imp) per moleTablespoon (Imp) per mole [tbsp / mol]Teaspoon (Imp) per mole [tsp / mol]Dessert spoon (Imp) per moleCup (US) per mole [c / mol]Tablespoon (US) per mole [tbsp / mol]Teaspoon (US) per mole [tsp / mol]Cup (Metric) per moleTablespoon (Metric) per moleTeaspoon (Metric) per moletun per molebutt, pipe per molebeer gallon per mole [beer gal / mol] <= 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 formulaShow source$n=\frac{\mathrm{V}}{Vm}$
ResultShow source$1$
Numerical resultShow 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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