Calculation of Universal Gas Constant

We can find an estimate for the universal gas constant using the ideal gas equation  
\[pV=nRT\]

Rearrange this equation to give  
\[R=\frac{pV}{nT}\]

1 mol of gas at stp (standard temperature and pressure) occupies 22400 cm3.
The standard temperature is 0 ° C or 273.15 ° K and the standard pressure is 101.3 kPa.
Then  
\[R= \frac{101.3 \times 22400 \times 10^{-6|}}{1 \times 273.15} = 8.31 J mol^{-1} K^{-1}\]
 

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