/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 36 Questions 32-36 refer to the fol... [FREE SOLUTION] | 91影视

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Questions 32-36 refer to the following. Two half-cells are set up as follows: Half-Cell A: Strip of \(\mathrm{Cu}(s)\) in \(\mathrm{CuNO}_{3}(a q)\) Half-Cell B: Strip of \(\mathrm{Zn}(s)\) in \(\mathrm{Zn}\left(\mathrm{NO}_{3}\right)_{2}\) (aq) When the cells are connected according to the diagram below, the following reaction occurs: GRAPH CAN'T COPY $$2 \mathrm{Cu}^{+}(a q)+\mathrm{Zn}(s) \rightarrow 2 \mathrm{Cu}(s)+\mathrm{Zn}^{2+}(a q) E^{\circ}=+1.28 \mathrm{V}$$ What will happen in the salt bridge as the reaction progresses? (A) The Na' ions will flow to the Cu/Cu' half-cell. (B) The Br' ions will flow to the Cu/Cu' half-cell. (C) Electrons will transfer from the Cu/Cu' half-cell to the Zn/Zn" half cell. (D) Electrons will transfer from the \(\mathrm{Zn} / \mathrm{Zn}^{2+}\) half- cell to the Cu/Cu' half cell.

Short Answer

Expert verified
(A) The Na' ions will flow to the Cu/Cu' half-cell.

Step by step solution

01

Understanding the Galvanic cell

In a Galvanic cell, the chemical reaction is a spontaneous redox reaction which drives the flow of electrons from the anode (the electrode where oxidation occurs) to the cathode (the electrode where reduction occurs). In this case, we know from the given reaction equation that Zinc is getting oxidized (it is losing electrons) and Copper ions are getting reduced (they are gaining those electrons). Therefore, Zinc is acting as a anode and Copper as the cathode.
02

Understanding the function of the salt bridge

A salt bridge is a U shaped tube containing a relatively inert electrolyte like KNO3, NaCl etc. The main function of the salt bridge is to maintain electrical neutrality within the internal circuit, without the movement of electrons, which pass through the wire connected between the two half cells.
03

Establishing the direction of ion flow

When the Zinc is oxidized, it leaves its electrons in the anode and enters the solution as \(Zn^{2+}\) ions. This would cause charge imbalance, hence to restore the charge balance, the negatively charged ions from the salt bridge flow towards the zinc solution. Likewise, at the copper cathode, \(Cu^{+}\) ions are accepting electrons and getting reduced to form Cu metal, resulting in a positive charge imbalance in the copper solution. To restore the neutrality in half-cell B, positive ions from the salt bridge move towards it.
04

Identifying the correct option

From our understanding of the Voltaic cell, it's clear that electrons will transfer from Zinc to Copper, via the connecting wire, not within the salt bridge. So options (C) and (D) are incorrect. The question does not mention what exactly is the electrolyte in the salt bridge but given options (A) and (B), it's reasonable to assume that it may contain both Na+ and Br- ions. Since we established that the Na+ ions go to copper solution and Br- ions go to zinc solution, Option (A) is correct.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Galvanic Cell
A galvanic cell, also known as a voltaic cell, is a device that converts chemical energy into electrical energy through spontaneous redox reactions. This means that chemical reactions naturally occur to produce electricity, without any external energy source needed. In a galvanic cell, you will find two half-cells. Each half-cell contains a metal electrode submerged in a solution containing a corresponding metal ion.

In the case of your exercise, there are two half-cells involved: Half-Cell A with copper (Cu) in copper nitrate ( CuNO_3(aq) ) and Half-Cell B with zinc (Zn) in zinc nitrate ( Zn(NO_3)_2(aq) ). When the two half-cells are connected by a wire, and the circuit is completed by a salt bridge, electrons begin flowing from one electrode to another. This flow is due to the natural tendency of zinc to oxidize (lose electrons) and copper ions to reduce (gain electrons).
  • Oxidation at Anode: Zinc (Zn) oxidizes into Zn虏鈦, releasing electrons.
  • Reduction at Cathode: Copper ions (Cu鈦) accept these electrons to form Cu metal.
The galvanic cell effectively drives these two reactions with the associated electron flow, producing an electric current in the process.
Salt Bridge Function
The salt bridge plays a pivotal role in the operation of a galvanic cell. Without the salt bridge, the flow of electrons (and thus the redox reactions) would halt very quickly. The main function of a salt bridge is to maintain electrical neutrality within the half-cells as the redox reactions proceed.

As zinc oxidizes, it leaves excess Zn虏鈦 ions in its solution, creating a positive charge. On the other hand, as copper ions are reduced, there is a decrease in positive charge in the copper solution, creating a negative charge imbalance. To counter these imbalances and prevent the buildup of charges that would stop the electron flow, the salt bridge releases ions to each half-cell.
  • Negative ions from the salt bridge move to the anodic solution (zinc) to neutralize excess Zn虏鈦 ions.
  • Positive ions from the salt bridge move to the cathodic solution (copper) to replace the reducing copper ions.
This process keeps charge balance in check, allowing continuous operation of the galvanic cell.
Electron Flow
In a galvanic cell, electrons flow through an external circuit from the anode to the cathode. This electron flow is what generates electric current, which can be harnessed for doing electrical work. This flow is driven by the energy change associated with oxidation of the anode material and the subsequent reduction at the cathode.

For the given cell setup, electrons are released from zinc at the anode as it undergoes oxidation:
  • Zinc ( Zn(s) ) 鈫 Zinc ions ( Zn^{2+}(aq) ) + 2 electrons.
These liberated electrons travel through the wire towards the copper electrode, where they are consumed in the reduction of copper ions:
  • 2 Copper ions ( 2Cu^{+}(aq) ) + 2 electrons 鈫 2 Copper ( Cu(s) ).
The electron flow from the anode to the cathode constitutes the electrical current at the macroscopic level, and is a fundamental feature in studying electrochemical cells.
Oxidation-Reduction Process
The essence of redox reactions in a galvanic cell lies in the simultaneous occurrence of oxidation and reduction processes. Oxidation refers to the loss of electrons, while reduction refers to the gain of electrons. Both processes are crucial and interlinked, driving the chemical reactions that generate electrical energy.

In your exercise example:
  • Oxidation occurs at the zinc electrode (anode), where zinc atoms lose electrons to form zinc ions ( Zn 鈫 Zn^{2+} + 2e^- ).
  • Reduction takes place at the copper electrode (cathode), where copper ions gain electrons to form copper metal ( 2Cu^{+} + 2e^- 鈫 2Cu ).
Together, these reactions form a complete redox process, with the overall cell reaction leading to the formation of copper metal and zinc ions in solution. By understanding these processes, we can grasp how chemical bonding changes facilitate the electron flow that powers a galvanic cell.

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Most popular questions from this chapter

Use the following information to answer questions 14-16 The radius of atoms and ions is typically measured in Angstroms \((A),\) which is equivalent to \(1 * 10^{-10} \mathrm{m} .\) Below is a table of information for three different elements. TABLE NOT AVAILABLE The phosphorus ion is larger than a neutral phosphorus atom, yet a zinc ion is smaller than a neutral zinc atom. Which of the following statements best explains why? (A) The zinc atom has more protons than the phosphorus atom. (B) The phosphorus atom is paramagnetic, but the zinc atom is diamagnetic. (C) Phosphorus gains electrons when forming an ion, but zinc loses them. (D) The valence electrons in zinc are further from the nucleus than those in phosphorus.

\(2 \mathrm{HI}(g)+\mathrm{Cl}_{2}(g) \rightleftharpoons 2 \mathrm{HCl}(g)+\mathrm{I}_{2}(g)+\) energy A gaseous reaction occurs and comes to equilibrium, as shown above. Which of the following changes to the system will serve to increase the number of moles of \(\mathrm{I}_{2}\) present at equilibrium? (A) Increasing the volume at constant temperature (B) Decreasing the volume at constant temperature (C) Increasing the temperature at constant volume (D) Decreasing the temperature at constant volume

A 1 -molar solution of a very weak monoprotic acid has a pH of 5. What is the value of \(K_{a}\) for the acid? (A) \(K_{a}=1 \times 10^{-10}\) (B) \(K_{a}=1 \times 10^{-7}\) (C) \(K_{a}=1 \times 10^{-5}\) (D) \(K_{a}=1 \times 10^{-2}\)

Use the following information to answer questions 29-31. Pennies are made primarily of zinc, which is coated with a thin layer of copper through electroplating, using a setup like the one above. The solution in the beaker is a strong acid (which produces H' ions), and the cell is wired so that the copper electrode is the anode and zinc penny is the cathode. Use the following reduction potentials to answer questions \(29-31 .\) $$\begin{array}{|l|l|}\hline \text { Half-Reaction } & {\text { Standard Reduction Potential }} \\ \hline \mathrm{Cu}^{2++2 e^{-} \rightarrow \mathrm{Cu}(s)} & {+0.34 \mathrm{V}} \\ \hline 2 \mathrm{H}^{++2 e^{-} \rightarrow \mathrm{H}_{2}(g)} & {0.00 \mathrm{V}} \\ \hline \mathrm{Ni}^{2++2 e^{-} \rightarrow \mathrm{Ni}(s)} & {-0.25 \mathrm{V}} \\\ \hline \mathrm{Zn}^{2++2 e^{-} \rightarrow \mathrm{Zn}(s)} & {-0.76 \mathrm{V}} \\ \hline\end{array}$$ If, instead of copper, a nickel bar were to be used, could nickel be plated onto the zinc penny effectively? Why or why not? (A) Yes, nickel鈥檚 SRP is greater than that of zinc, which is all that is required for nickel to be reduced at the cathode (B) Yes, nickel is able to take electrons from the \(\mathrm{H}^{+}\) ions in solution, allowing it to be reduced (C) No, nickel's SRP is lower than that of \(\mathrm{H}^{+}\) ions, which means the only product being produced at the cathode would be hydrogen gas (D) No, nickel's SRP is negative, meaning it cannot be reduced in an electrolytic cell

150 \(\mathrm{mL}\) of saturated \(\mathrm{SrF}_{2}\) solution is present in a 250 \(\mathrm{mL}\) beaker at room temperature. The molar solubility of \(\mathrm{SrF}_{2}\) at 298 \(\mathrm{K}\) is \(1.0 \times 10^{-3} \mathrm{M}\) . What are the concentrations of \(\mathrm{Sr}^{2+}\) and \(\mathrm{F}^{-}\) in the beaker? (A) \(\left[\mathrm{Sr}^{2+}\right]=1.0 \times 10^{-3} M\left[\mathrm{F}^{-}\right]=1.0 \times 10^{-3} M\) (B) \(\left[\mathrm{Sr}^{2+}\right]=1.0 \times 10^{-3} M\left[\mathrm{F}^{-}\right]=2.0 \times 10^{-3} M\) (C) \(\left[\mathrm{Sr}^{2+}\right]=2.0 \times 10^{-3} M\left[\mathrm{F}^{-}\right]=1.0 \times 10^{-3} M\) (D) \(\left[\mathrm{Sr}^{2+}\right]=2.0 \times 10^{-3} \mathrm{M}\left[\mathrm{F}^{-}\right]=2.0 \times 10^{-3} M\)

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