Dynamic Equilibrium in Chemical Reactions
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Questions and Answers

Which statement accurately describes dynamic equilibrium?

  • The concentrations of reactants and products are equal.
  • The rate of the forward reaction is faster than the rate of the reverse reaction.
  • The concentrations of reactants and products no longer change because the forward and reverse reactions continue at the same rate. (correct)
  • All reactions have ceased as equilibrium is achieved.

Consider the following reaction at equilibrium: $aA + bB \rightleftharpoons cC + dD$. Which expression correctly represents the equilibrium constant, $K_c$?

  • $K_c = \frac{[aA]^a[bB]^b}{[cC]^c[dD]^d}$
  • $K_c = \frac{[A]^a[B]^b}{[C]^c[D]^d}$
  • $K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b}$ (correct)
  • $K_c = \frac{[cC]^c[dD]^d}{[aA]^a[bB]^b}$

What is a characteristic feature of heterogeneous equilibria?

  • The reaction proceeds rapidly to completion.
  • Reactants and products exist in multiple phases. (correct)
  • All reactants and products are in the gaseous phase.
  • All reactants and products are in the same phase.

The equilibrium constant, $K_c$, for a reaction is very large. What does this indicate about the equilibrium position?

<p>The equilibrium lies far to the right, favoring products. (B)</p> Signup and view all the answers

Consider the gas-phase reaction: $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$. Initially, a reaction vessel contains 2.0 mol of $N_2$ and 6.0 mol of $H_2$. At equilibrium, the amount of $NH_3$ formed is 2.0 mol. What is the amount of $N_2$ remaining at equilibrium?

<p>1.0 mol (B)</p> Signup and view all the answers

What does Le Chatelier's principle state?

<p>If a change of condition is applied to a system in equilibrium, the system will shift in a direction that relieves the stress. (C)</p> Signup and view all the answers

For the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$, what effect would increasing the pressure have on the equilibrium?

<p>The equilibrium would shift to the right, favoring products. (C)</p> Signup and view all the answers

How does the change in Gibbs free energy, $\Delta G$, relate to the equilibrium constant, $K$?

<p>$\Delta G = -RTlnK$ (D)</p> Signup and view all the answers

Consider the reaction $A(g) + B(g) \rightleftharpoons C(g)$. At a certain temperature, the equilibrium concentrations are $[A] = 2M$, $[B] = 3M$, and $[C] = 4M$. What is the value of the equilibrium constant $K_c$?

<p>$\frac{2}{3}$ (C)</p> Signup and view all the answers

For an endothermic reaction, how does increasing the temperature affect the equilibrium constant $K$?

<p>$K$ increases (D)</p> Signup and view all the answers

Which of the following will NOT cause a change in the equilibrium position for the reaction $H_2(g) + I_2(g) \rightleftharpoons 2HI(g)$?

<p>Adding a catalyst (C)</p> Signup and view all the answers

What is the SI unit for the standard state concentration used in defining equilibrium constants for solutions?

<p>mol dm$^{-3}$ (A)</p> Signup and view all the answers

Consider the reaction: $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$. If the volume of the container is decreased, what will happen to the equilibrium?

<p>Shift to the right, favoring products (B)</p> Signup and view all the answers

For the equilibrium $A(s) \rightleftharpoons B(g)$, which expression is correct for $K_c$?

<p>$K_c = [B]$ (C)</p> Signup and view all the answers

How is the reaction quotient, $Q$, different from the equilibrium constant, $K$?

<p>$Q$ can be calculated at any stage of the reaction, whereas $K$ is only defined at equilibrium. (B)</p> Signup and view all the answers

If $Q < K$ for a reaction, what does this indicate about the direction the reaction will proceed?

<p>The reaction will proceed in the forward direction. (A)</p> Signup and view all the answers

A reaction has an equilibrium constant $K = 100$. Initially, $[A] = 2M$ and $[B] = 1M$, and the reaction is $A \rightleftharpoons B$. Calculate $Q$ and determine which way the reaction will shift.

<p>$Q = 0.5$, shifts right (A)</p> Signup and view all the answers

The reaction $N_2O_4(g) \rightleftharpoons 2NO_2(g)$ is endothermic. If the temperature is increased, which way will the equilibrium shift?

<p>Shifts to the right (B)</p> Signup and view all the answers

For the exothermic reaction $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$, what happens to $K$ if the temperature is increased?

<p>$K$ decreases (B)</p> Signup and view all the answers

Consider $PCl_5(g) \rightleftharpoons PCl_3(g) + Cl_2(g)$. What happens if $Cl_2$ is added to the system at equilibrium?

<p>Shifts to the left, favoring the reactants (C)</p> Signup and view all the answers

Which change will increase the number of moles of $SO_3$ at equilibrium in the following reaction: $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$ $\Delta H = -197 kJ/mol$?

<p>Adding more $O_2$ (C)</p> Signup and view all the answers

Given the reaction $CO(g) + Cl_2(g) \rightleftharpoons COCl_2(g)$ with $K = 4.56 \times 10^0$ at $100^\circ C$, what does this $K$ value indicate about the reaction at equilibrium?

<p>Products and reactants are in roughly equal concentrations (C)</p> Signup and view all the answers

How does standard reaction Gibbs free energy relate to spontaneity of a reaction?

<p>A $\Delta_r G^o$ of zero indicates the reaction is at equilibrium. (D)</p> Signup and view all the answers

For the dissolution of an ionic compound in water, what is the effect of temperature if the process is endothermic?

<p>Solubility increases with increasing temperature. (A)</p> Signup and view all the answers

What conditions favor the formation of products in the reaction: $A(g) + B(g) \rightleftharpoons C(g) + heat$?

<p>High pressure, low temperature (C)</p> Signup and view all the answers

Consider the equilibrium: $2NOBr(g) \rightleftharpoons 2NO(g) + Br_2(g)$. What is the correct expression for $K_c$?

<p>$K_c = \frac{[NO]^2[Br_2]}{[NOBr]^2}$ (C)</p> Signup and view all the answers

Which of the following is true regarding the addition of an inert gas to a system at equilibrium, assuming constant volume?

<p>It has no effect on the equilibrium position (C)</p> Signup and view all the answers

What does a small value of the dissociation constant ($K_d$) in protein-ligand binding indicate?

<p>Strong binding, association is favored (B)</p> Signup and view all the answers

What should be the primary consideration when determining the effect of pressure on an equilibrium system involving gases?

<p>The change in the number of moles of gas between reactants and products (A)</p> Signup and view all the answers

Consider the reaction: $A(g) + B(s) \rightleftharpoons C(g)$. If the partial pressure of $A$ is increased, which way will the equilibrium shift?

<p>Shift right (A)</p> Signup and view all the answers

For a certain reaction, $\Delta H = -50 kJ/mol$ and $\Delta S = -100 J/(mol \cdot K)$ at 298 K. Is the reaction spontaneous at this temperature?

<p>Yes, because $\Delta G$ is negative. (A)</p> Signup and view all the answers

What is the standard state pressure for gases when defining equilibrium constants?

<p>1 bar (D)</p> Signup and view all the answers

In the protein-ligand binding context, if the reaction lies to the left, what does that indicate about the reaction?

<p>Dissociation is not favored, binding is strong (B)</p> Signup and view all the answers

Consider the reaction $A(g) + B(g) \rightleftharpoons C(g)$. Initially, only A and B are present. At equilibrium, it is found that the concentration of C is much lower than A or B. What can be inferred about the equilibrium constant, $K$?

<p>$K$ is small. (C)</p> Signup and view all the answers

Why does increasing the temperature generally increase the rate of a chemical reaction, even if the reaction is not at equilibrium?

<p>It increases the frequency and energy of collisions between molecules. (C)</p> Signup and view all the answers

For a system at equilibrium, what is the effect of adding a catalyst?

<p>Increases the rate at which equilibrium is reached but does not change the equilibrium position. (A)</p> Signup and view all the answers

Given the endothermic reaction $A(g) \rightleftharpoons B(g)$. How would the concentration of B change if more A is introduced into the system after it has reached equlibirum?

<p>It would increase (B)</p> Signup and view all the answers

Flashcards

Dynamic Equilibrium

A state where the rates of forward and reverse reactions are equal, and concentrations of reactants/products remain constant.

Heterogeneous Equilibria

A state where reactants and products coexist, but are in different phases.

Position of Equilibrium

The value of the equilibrium constant determines whether products or reactants are favored.

Le Chatelier's Principle

A principle stating that if a change of condition is applied to a system in equilibrium, the system will shift to relieve the stress.

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Reaction Completion

Chemical reactions will not necessarily go to completion. It is usually true that:

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Equilibrium Reaction

Occurs when the rate of the forward reaction equals the rate of the reverse reaction.

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Concentrations at Equilibrium

Once equilibrium has been established there is no visible sign of further reaction taking place.

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Equilibrium Constant (K)

Constant for a given reaction at a specific temperature, indicating the ratio of products to reactants at equilibrium.

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Reaction Quotient (Q)

A measure of the relative amount of products and reactants present in a reaction at any given time.

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Q = K

The system is at equilibrium, no shift will occur.

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Q > K

The ratio of concentration of products to concentration of reactants is too large.

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Q < K

The ratio of concentration of products to concentration of reactants is too small.

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Increase in Pressure

Shifts to favor fewer gas molecules.

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Decrease in Pressure

Shifts to favor more gas molecules.

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Exothermic Reaction and Temperature

Shifts to reduce the added heat if the T, K i.e. the system moves to favour reactants since the reverse (endothermic) process.

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Endothermic Reaction and Temperature

Shifts to reduce is the added heat if the system moves to favour reactants since the forward (endothermic) process.

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Free Energy and Equilibrium

Relates standard free energy change to the equilibrium constant.

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Study Notes

Dynamic Equilibrium

  • Chemical reactions do not always go to completion
  • Equilibrium reactions proceed in forward and backward reaction

Approaching Equilibrium

  • As time progresses, the rate of the forward reaction changes less quickly
  • A + B is consumed by forward reaction and formed by back reaction
  • As time progresses, the rate of the back reaction changes less quickly
  • C + D is formed by forward reaction and consumed by back reaction
  • If equilibrium is established there is no further visible change in the reaction
  • Forward and reverse reactions continue at the same rate when equilibrium is established
  • Reactants and products reach a steady state in dynamic equilibrium
  • Reactant and product concentrations are not necessarily equal

Equilibrium Constant

  • Equilibrium constant (K) for the reaction αA + βB ⇌ γC + δD
  • K is ([C]^γ [D]^δ) / ([A]^α [B]^β)
  • For the reaction A + 2B ⇌ 3C+D, K is [C]³[D] / ([A][B]²)
  • Pure solids and liquids aren't included in the equilibrium constant
  • For solutions, the standard state concentration is 1 mol dm⁻³
  • For gases, the standard state pressure is 1 bar
  • Equilibrium constant has no units
  • The value of K is fixed once equilibrium as been established

Reaction Quotient

  • Reaction quotient (Q) for the reaction αX + βY ⇌ γZ
  • Q is the ratio of products to reactants, at any stage of the reaction
  • Q = K: No shift will occur with the system at equilibrium
  • Q > K: Ratio of products to reactants is too large
  • A net change of products to reactants must occur in order to reach equilibrium
  • System shifts to the left, consuming products and forming reactants, until equilibrum is achieved
  • Q < K: Ratio of products to reactants is too small
  • A net change of reactants to products must occur in order to reach equilibrium
  • System shifts to the right, consuming reactants and forming products, until equilibrium is achieved
  • For the reaction SO₂(g) + NO₂(g) ⇌ SO₃(g) + NO(g) with K = 3.75, if all four gases had initial concentrations of 0.8000 mol dm⁻³, Q = 1

Le Chatelier's Principle

  • The concentration of reactants and products in an equilibrium mixture will alter so as to counteract any changes in pressure, temperature and concentration
  • Add reactant: Forward reaction to remove stress
  • Remove reactant: Reverse reaction to remove stress
  • Add product: Reverse reaction to remove stress
  • Remove product: Forward reaction to remove stress
  • Decrease volume: Shifts toward fewer moles in the gas phase to remove stress
  • Increase volume: Shifts toward more moles in the gas phase to remove stress
  • Raise temperature of endothermic reaction: Forward, new value for K to remove stress
  • Lower temperature of endothermic reaction: Reverse, new value for K to remove stress
  • Raise temperature of exothermic reaction: Reverse, new value for K to remove stress
  • Lower temperature of exothermic reaction: Forward, new value for K to remove stress
  • Catalyst: No effect to remove stress

Pressure Changes

  • Pressure of a reaction system involving gaseous components can be altered by
    • Adding or removing a gaseous reactant or product
    • Adding an inert gas (one not involved in the reaction)
    • Changing the container volume

Volume Changes

  • If pressure increases as a result of the volume decreasing, the system responds by decreasing the pressure, by reducing the number of gas phase molecules
  • If pressure decreases as a result of the volume increasing, the system responds by increasing the pressure, by increasing the number of gas phase molecules
  • For reaction PCl3(g) + 3 NH3(g) ⇌ P(NH2)3(g) + 3 HCl(g), there is no shift

Free Energy and Equilibrium

  • ΔᵣG° = -RT ln K
    • ΔᵣG° being standard reaction Gibbs free energy
    • R being the gas constant = 8.314 J K⁻¹ mol⁻¹
    • T being absolute temperature in K

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Description

Explore dynamic equilibrium in chemical reactions, where forward and backward reactions occur simultaneously. Understand how reactants and products reach a steady state, with concentrations that aren't necessarily equal. Learn about the equilibrium constant (K) and its calculation for various reactions.

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