Clapeyron's equation calculator
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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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] = 273.15 [K]0\ \left[^\circ C\right]\ =\ 273.15\ \left[K\right]
Volume (V)
Pressure (p)Show source1013.25 [hPa] = 1.0132510+5 [Pa]1013.25\ \left[hPa\right]\ =\ 1.01325\cdot10^{+5}\ \left[Pa\right]

Result: Volume (V)

Used formulaShow sourceV:=(nRT)p\mathrm{V}:=\frac{\left( n\cdot R\cdot\mathrm{T}\right)}{ p}
ResultShow source0.002696 R0.002696~ R
Numerical resultShow source22.42 [dm3]22.42\ \left[dm^3\right]
Result step by step
1Show source((1)R(273.15))(1.0132510+5)\frac{\left(\left(1\right)\cdot R\cdot\left(273.15\right)\right)}{\left(1.01325\cdot10^{+5}\right)}Removed unneded parenthesis
2Show source(1R273.15)1.0132510+5\frac{\left(1\cdot R\cdot273.15\right)}{1.01325\cdot10^{+5}}Multiply by one
3Show source(R273.15)1.0132510+5\frac{\left( R\cdot273.15\right)}{1.01325\cdot10^{+5}}Rearrange coefficents
4Show source273.15 R1.0132510+5\frac{273.15~ R}{1.01325\cdot10^{+5}}Simplify arithmetic
5Show source0.002696 R0.002696~ RResult
Numerical result step by step
1Show source0.0026968.31445984850.002696\cdot8.3144598485Simplify arithmetic
2Show source0.022420.02242Result
Units normalizationShow source0.02242 [m3] = 22.42 [dm3]0.02242\ \left[m^3\right]\ =\ 22.42\ \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
  • 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 \frac{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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