## 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 cm

^{3}.

The standard temperature is 0 ° C or 273.15 ° K and the standard pressure is 101.3 kPa.

Then

\[R= \frac{101.3 \times 22400 \times 10^{-6|}}{1 \times 273.15} = 8.31 J mol^{-1} K^{-1}\]