### Estimate the value of the equilibrium constant at…

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Problem 76

Consider the reaction:
$$\begin{array}{c}\mathrm{I}_{2}(g)+\mathrm{Cl}_{2}(g) \rightleftharpoons 2 \operatorname{ICl}(g) \\ \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad{K_{\mathrm{p}}=81.9 \text { at } 25^{\circ} \mathrm{C}}\end{array}$$
Calculate $\Delta G_{\mathrm{rxn}}$ for the reaction at $25^{\circ} \mathrm{C}$ under each of the
following conditions:
\begin{equation}\begin{array}{l}{\text { a. standard conditions }} \\ {\text { b. at cquilibrium }} \\ {\text { c. } P_{\mathrm{ICl}}=2.55 \mathrm{atm} ; P_{12}=0.325 \mathrm{atm} ; P_{\mathrm{Cl}_{2}}=0.221 \mathrm{atm}}\end{array}\end{equation}

PART A: $\Delta G^{\circ}=-10.9 \mathrm{kJ}$
PART B: $\Delta G=0 \mathrm{kJ}$
PART $\mathrm{C} : \Delta G=0.3 \mathrm{kJ}$

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