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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# 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]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 kilometre [km³]cubic metre [m³]cubic decimetre [dm³]cubic centimetre [cm³]cubic milimetre [mm³]cubic micrometre [µm³]cubic nanometre [nm³]cubic picometre [pm³]cubic femtometre [fm³]cubic attometre [am³]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)acre-foot [ac ft]acre-inch [ac inch]board-foot [fbm]beer gallon [beer gal]cord (firewood)cord-footcubic inch [cu in]cubic fathom [cu fm]cubic foot [cu ft]cubic mile [cu mi]cubic yard [cu yd]displacement tonfreight tonloadperch [per]register tontimber footdashfluid dram, fluidram [fl dr]gallon [gal(US)]gill [gi(US)]fifthminim [min]pinchpint [pt]quart [qt]fluid once [US fl oz]ponyshotjiggerbarrel [fl bl]drop (alt) [gtt]drop [gtt]barrel (petroleum) [bl, bll]hogshead [hhd]pint [pt]quart [qt]gallon [gal]peck [pk]bushel (level) [bu (lvl)]bushel (heaped) [bu]sackstrikebarrel [bl]firkinweyseamminim [min]dashpinchfluid scruple [fl s]fluid drachm [fl dr]dessert spoongill, noggin [gi]fluid once [fl oz]pint [pt]quart [qt]gallon [gal]strikepeck [pk]bucket [bkt]sack, bagbarrel [bl]drop (alt) [gtt]drop [gtt]breakfast cuppottle, quarternbushel [bu]kilderkincoombquarter, pailhogshead [hhd]water tonlastTeaspoon (Canadian) [tsp]Teaspoon (US) [tsp]Teaspoon (Metric)Teaspoon (Imp) [tsp]Tablespoon (Canadian) [tbsp]Tablespoon (US) [tbsp]Tablespoon (Metric)Tablespoon (Imp) [tbsp]Cup (Canadian) [c]Cup (US) [c]Cup (Metric)Cup (Imp) [c]butt, pipetun <= Molar volume (Vm) cubic decimetre per mole [dm³ / mol]cubic metre per mole [m³ / mol]cubic kilometre per mole [km³ / mol]cubic metre per mole [m³ / mol]cubic decimetre per mole [dm³ / mol]cubic centimetre per mole [cm³ / mol]cubic milimetre per mole [mm³ / mol]cubic micrometre per mole [µm³ / mol]cubic nanometre per mole [nm³ / mol]cubic picometre per mole [pm³ / mol]cubic femtometre per mole [fm³ / mol]cubic attometre per mole [am³ / 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 moleacre-foot per mole [ac ft / mol]acre-inch per mole [ac inch / mol]board-foot per mole [fbm / mol]beer gallon per mole [beer gal / mol]cord (firewood) per molecord-foot per molecubic inch per mole [cu in / mol]cubic fathom per mole [cu fm / mol]cubic foot per mole [cu ft / mol]cubic mile per mole [cu mi / mol]cubic yard per mole [cu yd / mol]displacement ton per molefreight ton per moleload per moleperch per mole [per / mol]register ton per moletimber foot per moledash per molefluid dram, fluidram per mole [fl dr / mol]gallon per mole [gal(US) / mol]gill per mole [gi(US) / mol]fifth per moleminim per mole [min / mol]pinch per molepint per mole [pt / mol]quart per mole [qt / mol]fluid once per mole [US fl oz / mol]pony per moleshot per molejigger per molebarrel per mole [fl bl / mol]drop (alt) per mole [gtt / mol]drop per mole [gtt / mol]barrel (petroleum) per mole [bll / mol]hogshead per mole [hhd / mol]pint per mole [pt / mol]quart per mole [qt / mol]gallon per mole [gal / mol]peck per mole [pk / mol]bushel (level) per mole [bu (lvl) / mol]bushel (heaped) per mole [bu / mol]sack per molestrike per molebarrel per mole [bl / mol]firkin per molewey per moleseam per moleminim per mole [min / mol]dash per molepinch per molefluid scruple per mole [fl s / mol]fluid drachm per mole [fl dr / mol]dessert spoon per molegill, noggin per mole [gi / mol]fluid once per mole [fl oz / mol]pint per mole [pt / mol]quart per mole [qt / mol]gallon per mole [gal / mol]strike per molepeck per mole [pk / mol]bucket per mole [bkt / mol]sack, bag per molebarrel per mole [bl / mol]drop (alt) per mole [gtt / mol]drop per mole [gtt / mol]breakfast cup per molepottle, quartern per molebushel per mole [bu / mol]kilderkin per molecoomb per molequarter, pail per molehogshead per mole [hhd / mol]water ton per molelast per moleTeaspoon (Canadian) per mole [tsp / mol]Teaspoon (US) per mole [tsp / mol]Teaspoon (Metric) per moleTeaspoon (Imp) per mole [tsp / mol]Tablespoon (Canadian) per mole [tbsp / mol]Tablespoon (US) per mole [tbsp / mol]Tablespoon (Metric) per moleTablespoon (Imp) per mole [tbsp / mol]Cup (Canadian) per mole [c / mol]Cup (US) per mole [c / mol]Cup (Metric) per moleCup (Imp) per mole [c / mol]butt, pipe per moletun per mole <= 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$22.41\ \left[dm^3\right]$ Molar volume (Vm) Show source$22.41\ \left[\frac{dm^3}{mol}\right]$ 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$\frac{22.41}{22.41}$ Canceled terms 2 Show source$1$ Result
Numerical result step by step
 1 Show source$1$ Result
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):
$\frac{V_1}{n_1} =\frac{V_2}{n_2}$
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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