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.

Beta version#

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

What do you want to calculate today?#

Choose a scenario that best fits your needs

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)#

Summary
Used formulaShow sourcen=VVmn=\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}}Removed double fractional markDivide by fraction is the same as multiply by fraction inverse: acb=abc=abc\frac{a}{\frac{c}{b}} = a \cdot \frac{b}{c} = \frac{a \cdot b}{c}
2Show source22412241100100\frac{2241}{\frac{2241}{100} \cdot 100}Removed double fractional markDivide by fraction is the same as multiply by fraction inverse: acb=abc=abc\frac{a}{\frac{c}{b}} = a \cdot \frac{b}{c} = \frac{a \cdot b}{c}
3Show source22411002241100\frac{2241 \cdot 100}{2241 \cdot 100}Simplify arithmetic-
4Show source2241002241100\frac{224100}{2241 \cdot 100}Simplify arithmetic-
5Show source224100224100\frac{\cancel{224100}}{\cancel{224100}}Cancel terms or fractions
  • Dividing a number by itself gives one, colloquially we say that such numbers "cancel-out": aa=1 \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.
6Show source11ResultYour expression reduced to the simplest form known to us.
Numerical result step by step
1Show source11The original expression-
2Show source11ResultYour expression reduced to the simplest form known to us.
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}
    where:
  • 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.


Tags and links to this website#

What tags this calculator has#

Permalink#

Links to external sites (leaving Calculla?)#

JavaScript failed !
So this is static version of this website.
This website works a lot better in JavaScript enabled browser.
Please enable JavaScript.