The value of the constant R in L*atm/(mol*K) is approximately 0.082057 L*atm/(mol*K). The units are a little complex so it is easier for us to viasualize it as a fraction:
[tex]R\approx0.082057\times\frac{L\cdot atm}{mol\cdot K}[/tex]To get the constant value in terms of bar, that is, L*bar/(mol*K), we can use the convertion of atm-bar:
[tex]1atm=1.01325bar\Rightarrow1=\frac{1.01325bar}{1atm}[/tex]So, we have:
[tex]R\approx0.082057\times\frac{L\cdot atm}{mol\operatorname{\cdot}K}=0.082057\times\frac{L\operatorname{\cdot}atm}{mol\operatorname{\cdot}K}\times\frac{1.01325bar}{1atm}\approx0.083144\times\frac{L\operatorname{\cdot}bar}{mol\operatorname{\cdot}K}[/tex]So, the value of the constant R is approximately 0.083144 L*bar / (mol*K).
