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AP Chemistry
9.5 Free Energy and Equilibrium
9.3 Gibbs Free Energy and Thermodynamic Favorability
AdvancedMCQGraphicalConceptual21.4k
Plot of \(\Delta G^\circ\) versus \(T\) for \(\text{CO}(g) + 2\,\text{H}_2(g) \rightleftharpoons \text{CH}_3\text{OH}(g)\).
Plot of \(\Delta G^\circ\) versus \(T\) for \(\text{CO}(g) + 2\,\text{H}_2(g) \rightleftharpoons \text{CH}_3\text{OH}(g)\).
An engineer studying the industrial synthesis of methanol from carbon monoxide and hydrogen gas according to the equation

\[ \text{CO}(g) + 2\,\text{H}_2(g) \rightleftharpoons \text{CH}_3\text{OH}(g) \]

plots the standard Gibbs free energy change, \(\Delta G^\circ\), as a function of absolute temperature, \(T\), as shown in the graph below.

Based on the graph, which of the following correctly identifies the signs of \(\Delta H^\circ\) and \(\Delta S^\circ\) for the forward reaction, and provides the correct thermodynamic justification?

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