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AP Chemistry
9.3 Gibbs Free Energy and Thermodynamic Favorability
AdvancedMCQGraphicalConceptual17.4k
A 2D Cartesian graph on a grayscale grid. The vertical y-axis is labeled '\(\Delta G^\circ\text{ (kJ/mol}_{\text{rxn}}\text{)}' and spans from \(-40\) to \(100\) with major tick marks labeled at \(-40\), \(-20\), \(0\), \(20\), \(40\), \(60\), \(80\), and \(100\). The horizontal x-axis is labeled '\(T\text{ (K)}' and spans from \(0\) to \(600\) with major tick marks labeled at \(0\), \(100\), \(200\), \(300\), \(400\), \(500\), and \(600\). Fine light-gray gridlines extend from each major tick mark across the plotting area. A single solid black straight line extends from \((0, 80)\) down to \((600, -40)\). Four small solid black circular data markers are placed on the line at coordinates \((0, 80)\), \((200, 40)\), \((400, 0)\), and \((500, -20)\). No other curves, text, legends, or annotations appear.
Plot of \(\Delta G^\circ\) as a function of absolute temperature \(T\) for the decomposition reaction.
The standard Gibbs free energy change, \(\Delta G^\circ\), for the decomposition reaction \(\text{MCO}_3(s) \rightleftharpoons \text{MO}(s) + \text{CO}_2(g)\) was determined across a range of temperatures and plotted as a function of absolute temperature, \(T\), as shown below.

Based on the graph, which of the following correctly identifies the values of \(\Delta H^\circ\) and \(\Delta S^\circ\) for the reaction, along with the appropriate justification?

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