reaction quotient

(noun)

A measure of the activities or concentrations of the chemical species involved in a chemical reaction at a given point in time.

Related Terms

  • equilibrium constant
  • equilibrium

Examples of reaction quotient in the following topics:

  • Reaction Quotients

    • The reaction quotient is a measure of the relative amounts of reactants and products during a chemical reaction at a given point in time.
    • The reaction quotient, Q, is a measure of the relative amounts of reactants and products during a chemical reaction at a given point in time.
    • Three properties can be derived from this definition of the reaction quotient:
    • As the reaction proceeds, assuming that there is no energy barrier, the species' concentrations, and hence the reaction quotient, change.
    • Calculate the reaction quotient, Q, and use it to predict whether a reaction will proceed in the forward or reverse direction
  • Predicting the Direction of a Reaction

    • Equilibrium constants and reaction quotients can be used to predict whether a reaction will favor the products or the reactants.
    • If a reaction is not at equilibrium, you can use the reaction quotient, Q, to see where the reaction is in the pathway:
    • If you know the equilibrium constant for a reaction, and you know all the concentrations, you can predict in what direction the reaction will proceed.
    • Therefore, the reverse reaction is favored.
    • Evaluate whether a chemical reaction has reached equilibrium from the reaction coefficient (Q) and the equilibrium constant (K), and use the latter to predict whether the reaction will favor the reactants or products
  • Thermodynamics of Redox Reactions

    • The thermodynamics of redox reactions can be determined using their standard reduction potentials and the Nernst equation.
    • Q is the reaction quotient $\frac{C^cD^d}{A^aB^b}$.
    • It can be further simplified if the reaction has reached equilibrium, as in that case Q is the equilibrium constant K:
    • The relationship between the Gibbs free energy change and the standard reaction potential is:
    • Translate between the equilibrium constant/reaction quotient, the standard reduction potential, and the Gibbs free energy change for a given redox reaction
  • Concentration of Cells

    • In the late 19th century, Josiah Willard Gibbs formulated a theory to predict whether a chemical reaction would be spontaneous based on free energy:
    • Here, ΔG is the change in Gibbs free energy, T is absolute temperature, R is the gas constant, and Q is the reaction quotient.
    • In chemistry, a reaction quotient is a function of the activities or concentrations of the chemical species involved in a chemical reaction.
  • Homogeneous versus Heterogeneous Solution Equilibria

    • The equilibrium constants for reactions that contain substances that are all in the same phase, and reactions that contain substances in different phases, need to be calculated differently.
    • The former are called homogenous reactions, and the later are called heterogeneous reactions.
    • The equilibrium constant K for a given reaction is defined as the ratio of the products of a reaction to the reactants, measured at equilibrium.
    • In a general reaction
    • The reaction quotient measured at equilibrium is the equilibrium constant K.
  • Equilibrium Constant and Cell Potential

    • The standard cell potential for the reaction is then +0.34 V - (-0.76 V) = +1.10 V.
    • In this equation, E is the cell potential, Eo is the standard cell potential (i.e., measured under standard conditions), F is Faraday's constant, R is the universal gas constant, T is the temperature in degrees Kelvin, Q is the reaction quotient (which has the same algebraic from as the equilibrium constant expression, except it applies to any time during the reaction's progress), and n is the number of moles of electrons that are transferred in the balanced chemical equation of the redox process.
    • The cell potential is zero at equilibrium (E=0), and Q (the reaction quotient) can now be designated as the equilibrium constant K.
    • Calculate the equilibrium constant K, from the following reaction studied at a temperature of 298K:
    • Schematic of a galvanic cell for the reaction between Zn and Cu.
  • The Equilibrium Constant

    • Assuming this reaction is an elementary step, we can write the rate laws for both the forward and reverse reactions:
    • However, we know that the forward and reverse reaction rates are equal in equilibrium:
    • Notice that the left side of the equation is the quotient of two constants, which is simply another constant.
    • Predicting the Direction of a Reaction From the Value of Keq
    • A Keq >>1 is indicative that the forward reaction is highly favored over the reverse reaction, and at equilibrium, the concentrations of the products are much greater than those of the reactants.
  • Strategy for General Problem Solving

    • If the units are ignored, the quotients do not numerically equal 1, but 1/12 or 12.
    • Since the two quotients are equal to 1, multiplying or dividing by the quotients is the same as multiplying or dividing by 1.
    • You can also use these quotients to convert from inches to feet or from feet to inches.
    • If there is confusion regarding which quotient to use in the conversion, just make sure the units cancel out correctly.
    • The units behave just like numbers in products and quotients—they can be multiplied and divided.
  • Changes in Temperature

    • Changes in temperature can affect the equilibrium state of a reversible chemical reaction.
    • Reactions can be classified by their enthalpies of reaction.
    • A diagram of the reaction coordinate for an exothermic reaction is shown in .
    • Exothermic reactions will be shifted toward the reactants.
    • Endothermic reactions, on the other hand, will be shifted towards product formation as heat is removed from the reaction's surrounding environment.
  • Ene Reactions

    • The reverse process is called a retro ene reaction.
    • This is the same bond bookkeeping change exhibited by electrocyclic reactions, but no rings are formed or broken in an ene reaction unless it is intramolecular.
    • The following examples illustrate some typical ene reactions, with equation 3 being an intramolecular ene reaction.
    • Reaction 4 is drawn as a retro ene reaction, although this has not been demonstrated to be general for all reactions of allylic alcohols with thionyl chloride.
    • A similar acid-catalyzed reaction of simple aldehydes with alkenes to give allylic alcohols, 1,3-diols or 1,3-dioxanes is known as the Prins reaction.
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