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Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium
Chapter 18, Problem 12

Nitrogen reacts with fluorine to form nitrogen trifluoride: Calculate ∆G°, and determine whether the equilibrium composition should favor reactions or products at 25 °C(a) ∆G° = -6.7 kJ; the equilibrium composition should favor products. (b) ∆G° = -332 kJ; the equilibrium composition should favor reactants (c) ∆G° = -166 kJ; the equilibrium composition should favor products (d) ∆G° = +82.6 kJ; the equilbirum composiiton should favor reactants.

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1
Identify the balanced chemical equation for the reaction between nitrogen (N2) and fluorine (F2) to form nitrogen trifluoride (NF3). The balanced equation is N2 + 3F2 → 2NF3.
Understand that the Gibbs free energy change (∆G°) for a reaction indicates the spontaneity of the reaction at standard conditions. A negative ∆G° suggests the reaction is spontaneous and favors the formation of products, while a positive ∆G° suggests the reaction is non-spontaneous and favors the reactants.
Calculate ∆G° using the standard free energy of formation values for the reactants and products involved in the reaction. The formula to use is ∆G° = ∑∆G°f(products) - ∑∆G°f(reactants), where ∆G°f represents the standard free energy of formation.
Determine the sign of ∆G° (positive or negative) to predict whether the equilibrium composition of the reaction favors the reactants or the products at 25 °C.
Compare the calculated ∆G° value with the options provided to select the correct answer that includes both the value of ∆G° and the correct prediction regarding whether the equilibrium favors reactants or products.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Gibbs Free Energy (∆G)

Gibbs Free Energy (∆G) is a thermodynamic potential that measures the maximum reversible work obtainable from a thermodynamic system at constant temperature and pressure. A negative ∆G indicates that a reaction is spontaneous and favors the formation of products, while a positive ∆G suggests that the reaction is non-spontaneous and favors the reactants.
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Equilibrium Constant (K)

The equilibrium constant (K) is a dimensionless value that expresses the ratio of the concentrations of products to reactants at equilibrium for a given reaction at a specific temperature. The relationship between ∆G and K is given by the equation ∆G° = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin. A larger K value indicates that products are favored at equilibrium.
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Temperature Effects on Reaction Spontaneity

Temperature can significantly influence the spontaneity of a reaction as described by the Gibbs Free Energy equation. For reactions that are exothermic (release heat), increasing temperature may lead to a positive ∆G, making the reaction less favorable. Conversely, for endothermic reactions, higher temperatures can drive the reaction towards products, altering the equilibrium position.
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Related Practice
Textbook Question
Identify the true statement about a spontaneous process. (a) A reaction that is nonspontaneous in the forward direction is spontaneous in the reverse direction.(b) Adding a catalyst will cause a nonspontaneous reaction to become spontaneous.(c) In a spontaneous process, the entropy of the system always decreases.(d) An endothermic reaction is always spontaneous.
Textbook Question
Calculate ∆Stotal, and determine whether the reaction is spon-taneous or nonspontaneous under standard-state conditions. (a) -429 J/K; nonspontaneous (b) -123 J/K; spontaneous (c) +3,530 J/K; nonspontaneous (d) +184 J/K; nonspontaneous
Textbook Question
Consider the following endothermic reaction of gaseous AB3 molecules with A2 molecules.

Identify the true statement about the spontaneity of the reaction. (a) The reaction is likely to be spontaneous at high temperatures. (b) The reaction is likely to be spontaneous at high temperatures. (c) The reaction is always spontaneous.(d) The reaction is always spontaneous.
Textbook Question
Ammonium hydrogen sulfide, a stink bomb ingredient, decomposes to ammonia and hydrogen sulfide: Calculate the standard free-energy change for the rection at 25 °C if the total pressure resulting from the solid NH4S placed in an evacuated container is 0.658 atm at 25 °C.(a) -43.8 kJ(b) +1.04 kJ(c) -462 kJ(d) +5.51 kJ
Textbook Question
Consider the following graph of total free energy of reactants and products versus reaction progress for the general reaction, Reactants -> Products. At which of the four points (labeled a, b, c, and d) is Q < K?

(a) Point a(b) Point c and d(c) Point a, c, and d(d) Point b