Consider the following reactions:\(\mathrm{H}_{2}(g)+\mathrm{I}_{2}(g) \longrightarrow 2 \mathrm{HI}(g) \quad\) and \(\quad \mathrm{H}_{2}(g)+\mathrm{I}_{2}(s) \longrightarrow 2 \mathrm{HI}(g)\).List two property differences between these two reactions that relate to equilibrium.

Short Answer

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The two property differences relating to equilibrium for the given reactions are: 1. The equilibrium constant expressions are different, as the first reaction's equilibrium constant depends on the concentration of gaseous Iodine (\(K_1 = \frac{[HI]^2}{[H_2][I_2]^1}\)), while the second one does not, due to solid Iodine being present (\(K_2 = \frac{[HI]^2}{[H_2]}\)). 2. Pressure changes will impact the equilibrium of the first reaction (all gases), following Le Chatelier's principle, while they will not have a significant effect on the equilibrium of the second reaction (involving a solid reactant).

Step by step solution

01

Difference 1: Equilibrium Constants

The equilibrium constant K is used to express the concentration of the reactants and products at equilibrium. For the given reactions, the equilibrium constants can be written as: For Reaction 1: \(K_1 = \frac{[HI]^2}{[H_2][I_2]^1}\) For Reaction 2: \(K_2 = \frac{[HI]^2}{[H_2][I_2(S)]}\) The phase of Iodine in the second reaction is solid, whereas it is a gas in the first reaction. The concentration of a solid is not included in the equilibrium expression, so the equilibrium constant for the second reaction does not depend on the concentration of solid Iodine. This leads to a difference in the equilibrium constants between the two reactions, as the first reaction's equilibrium constant depends on the concentration of gaseous Iodine, while the second one does not.
02

Difference 2: Effect of Pressure Change on Equilibrium

A change in pressure affects the equilibrium of a gaseous reaction since the concentrations of the gases are directly proportional to their partial pressures. According to Le Chatelier's principle, an increase in pressure will favor the side of the reaction with fewer moles of gas, while a decrease in pressure will favor the side with more moles of gas. For Reaction 1, both reactants and products are gases. When the pressure is changed, the equilibrium will shift according to Le Chatelier's principle. However, for Reaction 2, one of the reactants is solid. Changes in pressure have negligible effects on the concentration of solids, so the equilibrium of Reaction 2 will not be significantly affected by pressure changes. In conclusion, the two property differences relating to equilibrium for the given reactions are: 1. The equilibrium constant expressions for the two reactions are different due to the difference in Iodine's phase. 2. Pressure change will affect the equilibrium of the first reaction (all gases), but it will not have a significant impact on the equilibrium of the second reaction (involving a solid reactant).

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Most popular questions from this chapter

Suppose the reaction system $$\mathrm{UO}_{2}(s)+4 \mathrm{HF}(g) \rightleftharpoons \mathrm{UF}_{4}(g)+2 \mathrm{H}_{2} \mathrm{O}(g)$$,has already reached equilibrium. Predict the effect that each of the following changes will have on the equilibrium position. Tell whether the equilibrium will shift to the right, will shift to the left, or will not be affected. a. Additional UO \(_{2}(s)\) is added to the system. b. The reaction is performed in a glass reaction vessel; \(\mathrm{HF}(g)\) attacks and reacts with glass. c. Water vapor is removed.

Explain the difference between \(K, K_{\mathrm{p}},\) and \(Q\).

The equilibrium constant is 0.0900 at \(25^{\circ} \mathrm{C}\) for the reaction $$ \mathrm{H}_{2} \mathrm{O}(g)+\mathrm{Cl}_{2} \mathrm{O}(g) \rightleftharpoons 2 \mathrm{HOCl}(g)$$.For which of the following sets of conditions is the system at equilibrium? For those that are not at equilibrium, in which direction will the system shift? a. A 1.0 -L flask contains 1.0 mole of HOCI, 0.10 mole of \(\mathrm{Cl}_{2} \mathrm{O},\) and 0.10 mole of \(\mathrm{H}_{2} \mathrm{O}\) b. A \(2.0-\) L flask contains 0.084 mole of HOCI, 0.080 mole of \(\mathrm{Cl}_{2} \mathrm{O},\) and 0.98 mole of \(\mathrm{H}_{2} \mathrm{O}\) c. A 3.0 -L flask contains 0.25 mole of HOCI, 0.0010 mole of \(\mathrm{Cl}_{2} \mathrm{O},\) and 0.56 mole of \(\mathrm{H}_{2} \mathrm{O}\).

In which direction will the position of the equilibrium.$$2 \mathrm{HI}(g) \rightleftharpoons \mathrm{H}_{2}(g)+\mathrm{I}_{2}(g).$$,be shifted for each of the following changes? a. \(\mathrm{H}_{2}(g)\) is added. b. \(\mathrm{I}_{2}(g)\) is removed. c. \(\mathrm{HI}(g)\) is removed. d. In a rigid reaction container, some \(\operatorname{Ar}(g)\) is added. e. The volume of the container is doubled. f. The temperature is decreased (the reaction is exothermic).

Consider the decomposition of the compound \(\mathrm{C}_{5} \mathrm{H}_{6} \mathrm{O}_{3}\) as follows:$$\mathrm{C}_{5} \mathrm{H}_{6} \mathrm{O}_{3}(g) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{6}(g)+3 \mathrm{CO}(g)$$.When a 5.63 -g sample of pure \(\mathrm{C}_{5} \mathrm{H}_{6} \mathrm{O}_{3}(g)\) was sealed into an otherwise empty 2.50 -L flask and heated to \(200 .^{\circ} \mathrm{C},\) the pressure in the flask gradually rose to 1.63 atm and remained at that value. Calculate \(K\) for this reaction.

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