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Formula from Chapter 9: average molar kinetic energy of particle at given temperature
\(E_{\mathrm{kin\ avg}} = \dfrac{3}{2} \cdot R \cdot T\)
\(R\)
\(= 8.314\ \frac{\mathrm{J}}{\mathrm{mol}\ \mathrm{K}}\)
\(T\)
\(= 298.15\ \mathrm{K}\)
\(E_{\mathrm{kin\ avg}}\)
\(= \dfrac{3}{2} \cdot R \cdot T\)
\(\ \ \ =\dfrac{3}{2} \cdot 8.314\ \frac{\mathrm{J}}{\mathrm{mol}\ \mathrm{K}} \cdot 298.15\ \mathrm{K}\)
\(\ \ \ =\frac{3 }{ 2} \cdot 8.314\ \frac{\mathrm{J}}{\mathrm{mol}\ \mathrm{K}} \cdot 298.15\ \mathrm{K}\)
\(\ \ \ =12.4710\ \frac{\mathrm{J}}{\mathrm{mol}\ \mathrm{K}} \cdot 298.15\ \mathrm{K}\)
\(\ \ \ =3718.2\ \frac{\mathrm{J}}{\mathrm{mol}}\)