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What types of experiments can be carried out to determine whether a reaction is spontaneous? Does spontaneity have any relationship to the final equilibrium position of a reaction? Explain.

Short Answer

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To determine a reaction's spontaneity, scientists can perform experiments that measure the change in enthalpy (ΔH), change in entropy (ΔS), or cell potential (E_cell). A reaction is considered spontaneous if its Gibbs free energy change (ΔG) is negative. Spontaneity is related to the final equilibrium position of a reaction; spontaneous reactions generally have an equilibrium position shifted toward the products' side. However, a spontaneous reaction may still require a catalyst to proceed at a practical rate.

Step by step solution

01

Understanding Spontaneous Reactions

A spontaneous reaction is a chemical reaction that occurs without the constant input of energy from an external source. It is generally driven by factors such as a decrease in Gibbs free energy to minimize the energy of the system. A reaction is considered spontaneous if its Gibbs free energy change, ΔG, is negative.
02

Types of Experiments to Determine Spontaneity

To determine whether a reaction is spontaneous, scientists can perform the following types of experiments: 1. Measure the change in enthalpy (ΔH) and the change in entropy (ΔS) of the reaction, and then calculate the Gibbs free energy change (ΔG) using the equation: ΔG = ΔH - TΔS, where T is the temperature in Kelvin. If ΔG is negative, the reaction is spontaneous. 2. Conduct an electrochemical experiment: If a reaction involves electron transfer, one can measure the cell potential, E_cell, of a redox reaction. A positive cell potential indicates that the reaction is spontaneous. 3. Direct observation: In some cases, one can observe a spontaneous reaction by simply mixing the reactants and observing any visible changes, such as the formation of a precipitate, a color change, or the evolution of gas. Additional tests, such as measuring pH changes, can help confirm the spontaneity of the reaction.
03

Spontaneity and The Equilibrium Position

Spontaneity has a relationship with the final equilibrium position of a reaction. A spontaneous reaction will proceed in the forward direction until it reaches equilibrium, at which point the rate of the forward reaction equals the rate of the reverse reaction. At equilibrium, ΔG = 0, and the reaction quotient, Q, is equal to the equilibrium constant, K. If a reaction is spontaneous, it means that the forward reaction is favored, and K is greater than 1. In other words, the final equilibrium position will be shifted toward the products' side. However, it is essential to note that the spontaneity of a reaction does not necessarily imply a fast reaction rate. A reaction can be spontaneous but proceed at a slow rate, and a catalyst may be required to accelerate the reaction. In summary, to determine whether a reaction is spontaneous, one can perform experiments that measure the change in enthalpy, change in entropy, or cell potential. The spontaneity of a reaction is related to its equilibrium position, with spontaneous reactions generally having an equilibrium position shifted toward the products' side. However, spontaneous reactions may still require a catalyst to proceed at a practical rate.

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Most popular questions from this chapter

Many biochemical reactions that occur in cells require relatively high concentrations of potassium ion \(\left(\mathrm{K}^{+}\right) .\) The concentration of \(\mathrm{K}^{+}\) in muscle cells is about \(0.15 \mathrm{M}\). The concentration of \(\mathrm{K}^{+}\) in blood plasma is about \(0.0050 \mathrm{M}\). The high internal concentration in cells is maintained by pumping \(\mathrm{K}^{+}\) from the plasma. How much work must be done to transport 1.0 mole of \(\mathrm{K}^{+}\) from the blood to the inside of a muscle cell at \(37^{\circ} \mathrm{C}\), normal body temperature? When 1.0 mole of \(\mathrm{K}^{+}\) is transferred from blood to the cells, do any other ions have to be transported? Why or why not?

At 1 atm, liquid water is heated above \(100^{\circ} \mathrm{C}\). For this process, which of the following choices (i-iv) is correct for \(\Delta S_{\text {surr }}\) ? \(\Delta S ?\) \(\Delta S_{\text {univ }}\) ? Explain each answer. i. greater than zero ii. less than zero iii. equal to zero iv. cannot be determined

Consider the dissociation of a weak acid HA \(\left(K_{\mathrm{a}}=4.5 \times 10^{-3}\right)\) in water: $$\mathrm{HA}(a q) \rightleftharpoons \mathrm{H}^{+}(a q)+\mathrm{A}^{-}(a q)$$ Calculate \(\Delta G^{\circ}\) for this reaction at \(25^{\circ} \mathrm{C}.\)

The standard free energies of formation and the standard enthalpies of formation at \(298 \mathrm{K}\) for diffuoroacetylene \(\left(\mathrm{C}_{2} \mathrm{F}_{2}\right)\) and hexafluorobenzene \(\left(\mathrm{C}_{6} \mathrm{F}_{6}\right)\) are $$\begin{array}{ccc} & \Delta G_{f}^{\circ}(\mathrm{kJ} / \mathrm{mol}) & \Delta H_{f}^{\circ}(\mathrm{kJ} / \mathrm{mol}) \\ \hline \mathrm{C}_{2} \mathrm{F}_{2}(g) & 191.2 & 241.3 \\\ \mathrm{C}_{6} \mathrm{F}_{6}(g) & 78.2 & 132.8 \end{array}$$ For the following reaction: $$\mathrm{C}_{6} \mathrm{F}_{6}(g) \rightleftharpoons 3 \mathrm{C}_{2} \mathrm{F}_{2}(g)$$ a. calculate \(\Delta S^{\circ}\) at \(298 \mathrm{K}\). b. calculate \(K\) at 298 K. c. estimate \(K\) at \(3000 .\) K, assuming \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) do not depend on temperature.

Gas \(\mathrm{A}_{2}\) reacts with gas \(\mathrm{B}_{2}\) to form gas \(\mathrm{AB}\) at a constant temperature. The bond energy of AB is much greater than that of either reactant. What can be said about the sign of \(\Delta H ? \Delta S_{\text {surr }}\) ? \(\Delta S ?\) Explain how potential energy changes for this process. Explain how random kinetic energy changes during the process.

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