Question 10.4: Using the simplex model, show that the equilibrium constant ...
Using the simplex model, show that the equilibrium constant for the chemical reaction O_{2}+\frac{1}{2}N_{2}\rightleftarrows NO_{2} is given by
K_{p} = \kappa_{1}\Lambda^{{3}/{2}}_{N_{2}}\left(\frac{P_{\circ}}{kT}\right)^{{1}/{2}}\frac{Z_{NO_{2},int}}{Z_{O_{2},int }Z^{{1}/{2}}_{N_{2},int}}\exp\left(-\frac{\kappa_{2}}{T}\right),
where the thermal de Broglie wavelength is
\Lambda_{i} = \frac{h}{\sqrt{2\pi m_{i}kT}},
and the constants \kappa_{1} = 1.724 and \kappa_{2} = 4320 K.
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