### Kyanite, sillimanite, and andalusite all have the…

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MH
Johns Hopkins University

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Problem 108

Consider the formation of ammonia:
$$\mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \rightleftharpoons 2 \mathrm{NH}_{3}(g)$$
(a) Assuming that $\Delta H^{\circ}$ and $\Delta S^{\circ}$ are constant with temperature, find the temperature at which $K_{\mathrm{p}}=1.00 .$
(b) Find $K_{\mathrm{p}}$ at $400 .^{\circ} \mathrm{C}$ , a typical temperature for $\mathrm{NH}_{3}$ production.
(c) Given the lower $K_{\mathrm{p}}$ at the higher temperature, why are these conditions used industrially?