What does the R stand for in the ideal gas law (PV=nRT)?

1 Answer

The units of the universal gas constant #R# is derived from equation #PV = nRT#. It stands for Regnault.

If

  • the pressure #P# is in atmospheres (atm),
  • the volume #V# is in liters (L),
  • the moles #n# is in moles (mol),
  • and temperature #T# is in Kelvin (K),

then #R# is in #"L"cdot"atm/mol"cdot"K"#. #R# has the value #"0.082057 L"cdot"atm/mol"cdot"K"# with the above units for the remaining variables.

In other scenarios with pressures of #"bars"# instead, you may also use #"0.083145 L"cdot"bar/mol"cdot"K"#. However, temperature must always be in Kelvin (K), as #R# uses units of #"K"#.

There is a variation of the ideal gas law that uses the density of the gas with the equation

#PM = DRT#

where #M# is the molar mass in #"g/mol"# and #D# is the density of the gas in #"g/L"#.

Lastly, this video may help introduce you to the ideal gas law.

I hope this is helpful.