For Example \(10.2\), check whether the criterion for negligible intraparticle
heat transfer limitation is fulfilled. Take \(\Delta_{\mathrm{r}}
\mathrm{H}=227.5 \mathrm{~kJ} \cdot \mathrm{mol}^{-1}\) and
\(\mathrm{E}_{\mathrm{a}}=\) \(220 \mathrm{~kJ} \cdot \mathrm{mol}^{-1}\).
Assume the gas properties are those of pure nitrogen at \(900^{\circ}
\mathrm{C}\).
These are \(\lambda=0.074 \mathrm{~W} \cdot \mathrm{m}^{-1} \cdot
\mathrm{K}^{-1}, \rho=0.2875 \mathrm{~kg} \cdot \mathrm{m}^{-3}\), and
\(\mathrm{c}_{\mathrm{p}}=1.199 \mathrm{~kJ} \cdot \mathrm{kg} \cdot
\mathrm{K}^{-1}\).