Clapeyron's equation calculator
Calculations related to Clapeyron's equation known also as ideal gas law. Enter known values (e.g. pressure and temperature) and select which value you want to find out (e.g. 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?#

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Calculations data - enter values, that you know here#

Pressure (p)
<=
Volume (V)
=>
Number of moles (n)
<=
Temperature (T)
<=

Units normalization#

Number of moles (n)Show source1 [mol]1\ \left[mol\right]
Temperature (T)Show source0 [C] = 546320 [K]0\ \left[^\circ C\right]\ =\ \frac{5463}{20}\ \left[K\right]
Volume (V)
Pressure (p)Show source1013.25 [hPa] = 101325 [Pa]1013.25\ \left[hPa\right]\ =\ 101325\ \left[Pa\right]

Result: Volume (V)#

Summary
Used formulaShow sourceV=nRTp\mathrm{V}=\frac{ n\cdot R\cdot\mathrm{T}}{ p}
ResultShow source1821675500R\frac{1821}{675500}\cdot R
Numerical resultShow source22.413962078635826 [dm3]22.413962078635826\ \left[dm^3\right]
Result step by step
1Show source1 R5463201013251~ R\cdot\frac{\frac{5463}{20}}{101325}Multiply by one
2Show sourceR546320101325 R\cdot\frac{\frac{5463}{20}}{101325}Simplified division
3Show sourceR5463(201.0132510+5) R\cdot\frac{5463}{\left(20\cdot1.01325\cdot10^{+5}\right)}Cancel terms
4Show sourceR1821(2033775) R\cdot\frac{1821}{\left(20\cdot33775\right)}Simplify arithmetic
5Show sourceR1821675500 R\cdot\frac{1821}{675500}Rearrange coefficients
6Show source1821675500R\frac{1821}{675500}\cdot RResult
Numerical result step by step
1Show source0.0224139620786358260.022413962078635826Result
Units normalization
Show source0.022413962078635826 [m3] = 22.413962078635826 [dm3]0.022413962078635826\ \left[m^3\right]\ =\ 22.413962078635826\ \left[dm^3\right]

Some facts#

  • The perfect gas (also known as ideal gas) is a hypothetical, simplified model approximating the behavior of real gases. A perfect gas is different from the real one, in that its molecules do not interact with each other.
  • More formally, we say that the perfect gas does not take intermolecular interactions into account.
  • The ideal gas law was first formulated in 1834 by Benoîta Clapeyron. For this reason, it is also known as the Clapeyron equation.
  • The ideal gas state equation is usually written in the following form:
    pV=nRTpV = nRT
    where:
  • The Clapeyron equation was originally a generalization (synthesis) of the then known empirical laws describing in a rough way the behavior of gases:
    • the Boyls law - the gas pressure is inversely proportional to the volume:
      p1Vp \propto \dfrac{1}{V}
    • the Charles law - the volume of gas is directly proportional to the temperature:
      VTV \propto T
    • the Avogadro law - the volume of gas is directly proportional to the number of moles of gas in the vessel:
      VnV \propto n
    • the Gay-Lussac law - the gas pressure is directly proportional to the temperature:
      pTp \propto T

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