Electrochemical Cells and Redox Reactions (4C)
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MCAT Chemical and Physical Foundations of Biological Systems › Electrochemical Cells and Redox Reactions (4C)
A student builds a concentration cell using identical Cu electrodes: Cu(s)|Cu$^{2+}$(0.10 M)||Cu$^{2+}$(1.0 M)|Cu(s) at 25°C. Assume ideal behavior and that the salt bridge maintains electroneutrality. Which outcome would be expected in this electrochemical cell?
Electrons flow from the 0.10 M side to the 1.0 M side, decreasing Cu$^{2+}$ on the concentrated side.
Electrons flow from the 0.10 M side to the 1.0 M side, increasing Cu$^{2+}$ on the dilute side.
No voltage is produced because both half-cells use the same Cu$^{2+}$/Cu redox couple.
Electrons flow from the 1.0 M side to the 0.10 M side because higher ion concentration favors oxidation.
Explanation
This question tests understanding of concentration cells where identical electrodes create voltage from concentration differences alone. In a concentration cell, the dilute side (0.10 M Cu²⁺) acts as the anode where Cu(s) → Cu²⁺ + 2e⁻ occurs to increase [Cu²⁺], while the concentrated side (1.0 M Cu²⁺) acts as the cathode where Cu²⁺ + 2e⁻ → Cu(s) occurs to decrease [Cu²⁺]. Electrons flow from the anode (0.10 M side) to the cathode (1.0 M side) through the external wire, and this process continues until concentrations equalize. The net effect is that Cu²⁺ concentration increases on the dilute side and decreases on the concentrated side. Choice A reverses the electron flow direction, choice B correctly identifies flow direction but incorrectly states the concentration change, and choice D incorrectly claims no voltage (concentration differences create voltage even with identical E° values). For concentration cells: electrons flow from dilute to concentrated, equalizing concentrations.
In a simplified model of mitochondrial electron transport, a researcher constructs a galvanic cell at $25^\circ\text{C}$ using an Fe$^{3+}$/Fe$^{2+}$ couple (to mimic cytochrome behavior) and a Cu$^{2+}$/Cu couple. Solutions are 1.0 M for all ions. Standard reduction potentials: Fe$^{3+}$ + e$^-$ $\rightarrow$ Fe$^{2+}$, $E^\circ=+0.77,\text{V}$; Cu$^{2+}$ + 2e$^-$ $\rightarrow$ Cu(s), $E^\circ=+0.34,\text{V}$. Based on the setup, which conclusion is most consistent with the electrochemical process?
Cu(s) is oxidized at the anode, and Fe$^{3+}$ is reduced at the cathode in the spontaneous cell.
The cell is nonspontaneous because both listed $E^\circ$ values are positive, so $E^\circ_{\text{cell}}$ must be negative.
Electrons flow from the Fe$^{3+}$/Fe$^{2+}$ half-cell to the Cu$^{2+}$/Cu half-cell because Fe$^{3+}$ is the stronger oxidizing agent.
Fe$^{2+}$ is oxidized at the anode, and Cu$^{2+}$ is reduced at the cathode in the spontaneous cell.
Explanation
This question tests the ability to identify spontaneous electron flow in a galvanic cell based on standard reduction potentials. In a galvanic cell, the half-reaction with the higher (more positive) reduction potential occurs as reduction at the cathode, while the half-reaction with the lower reduction potential runs in reverse as oxidation at the anode. Since Fe³⁺/Fe²⁺ has E° = +0.77 V (higher) and Cu²⁺/Cu has E° = +0.34 V (lower), Fe³⁺ is reduced to Fe²⁺ at the cathode while Cu(s) is oxidized to Cu²⁺ at the anode. The correct answer B accurately describes this: Cu(s) is oxidized at the anode and Fe³⁺ is reduced at the cathode. Answer A incorrectly states electron flow direction - electrons actually flow from the Cu/Cu²⁺ half-cell (anode) to the Fe³⁺/Fe²⁺ half-cell (cathode). To identify the spontaneous direction in any galvanic cell, compare E° values: the higher E° species undergoes reduction at the cathode, while the lower E° species undergoes oxidation at the anode.
A researcher uses a concentration cell to estimate ion gradients across a synthetic membrane. Both electrodes are Cu(s) in Cu$^{2+}$(aq), but one side has $\text{Cu}^{2+}=1.0,\text{M}$ and the other has $\text{Cu}^{2+}=0.010,\text{M}$. At $25^\circ\text{C}$, $E=\frac{0.059}{n}\log\left(\frac{\text{Cu}^{2+}{\text{cath}}}{\text{Cu}^{2+}{\text{an}}}\right)$ for this cell with $n=2$. Which outcome would be expected in this electrochemical cell?
The concentrated side is the cathode, and Cu$^{2+}$ is reduced there, decreasing the concentration difference over time.
No voltage is produced because identical metals are used, so $E=0$ regardless of concentration.
The dilute side is the cathode because reduction is favored at lower cation concentration.
The concentrated side is the cathode, and Cu$^{2+}$ is reduced there, increasing the Cu$^{2+}$ gradient over time.
Explanation
This question tests understanding of concentration cells, where identical electrodes in different ion concentrations create a voltage. In a concentration cell, the Nernst equation shows that the half-cell with higher ion concentration acts as the cathode (reduction occurs), while the half-cell with lower ion concentration acts as the anode (oxidation occurs). For this Cu/Cu²⁺ concentration cell, the 1.0 M side is the cathode where Cu²⁺ + 2e⁻ → Cu(s) occurs, while the 0.010 M side is the anode where Cu(s) → Cu²⁺ + 2e⁻ occurs. This process naturally decreases the concentration difference over time as Cu²⁺ is consumed at the cathode and produced at the anode. The correct answer C accurately describes this: the concentrated side is the cathode where Cu²⁺ is reduced, decreasing the concentration difference. Answer B incorrectly states that reduction would increase the gradient - reduction consumes Cu²⁺, decreasing its concentration. In any concentration cell, the driving force is to equalize concentrations, with reduction occurring at the higher concentration side.
An electrolytic setup is used to plate Ni(s) onto a stainless-steel medical implant from an aqueous Ni$^{2+}$ solution. The cathode is the implant, and the anode is an inert Pt electrode. The standard reduction potential is Ni$^{2+}$ + 2e$^-$ $\rightarrow$ Ni(s), $E^\circ=-0.25,\text{V}$. Which outcome would be expected in this electrochemical cell when a sufficient external voltage is applied?
Ni$^{2+}$ is reduced to Ni(s) on the implant surface, requiring electrons supplied to the cathode by the power source.
Ni$^{2+}$ is reduced at the Pt anode because inert electrodes are always the site of reduction.
Ni(s) dissolves at the implant because the implant is the anode in electroplating.
Ni$^{2+}$ is oxidized to Ni$^{3+}$ at the implant because reduction occurs at the anode in an electrolytic cell.
Explanation
This question tests understanding of electrolytic cells used for electroplating, where an external voltage drives a nonspontaneous redox reaction. In electroplating, the object to be plated (the implant) serves as the cathode where reduction occurs, while oxidation occurs at the anode. Since Ni²⁺ + 2e⁻ → Ni(s) has E° = -0.25 V (negative), this reduction is nonspontaneous and requires an external power source to supply electrons to the cathode. At the cathode (implant), Ni²⁺ ions gain electrons and are reduced to metallic Ni(s), which deposits on the implant surface. The correct answer B accurately describes this process: Ni²⁺ is reduced to Ni(s) on the implant surface with electrons supplied by the power source. Answer A incorrectly suggests Ni dissolves at the implant - dissolution would occur if the implant were the anode, not the cathode. In any electroplating setup, remember that the cathode is where metal deposition occurs through reduction, requiring an external voltage when E° is negative.
A galvanic cell is built to monitor redox conditions in a bioreactor. One half-cell contains Zn(s) in 1.0 M Zn$^{2+}$; the other contains Ag(s) in 1.0 M Ag$^+$. Standard reduction potentials: Ag$^+$ + e$^-$ $\rightarrow$ Ag(s), $E^\circ=+0.80,\text{V}$; Zn$^{2+}$ + 2e$^-$ $\rightarrow$ Zn(s), $E^\circ=-0.76,\text{V}$. Which statement best reflects the redox principle illustrated?
The salt bridge supplies electrons to complete the circuit, so no ion migration is needed.
Electrons flow through the wire from Ag to Zn because Ag has the higher $E^\circ$ value.
Oxidation occurs at the cathode, so Zn(s) gains electrons and Ag$^+$ loses electrons in the spontaneous cell.
Zn(s) is oxidized at the anode, providing electrons that reduce Ag$^+$ at the cathode.
Explanation
This question tests the fundamental principle of electron flow in galvanic cells based on reduction potentials. In a spontaneous galvanic cell, the species with the more negative reduction potential is oxidized at the anode, while the species with the more positive reduction potential is reduced at the cathode. Since Zn²⁺/Zn has E° = -0.76 V (more negative) and Ag⁺/Ag has E° = +0.80 V (more positive), Zn(s) spontaneously loses electrons (oxidation) at the anode while Ag⁺ gains electrons (reduction) at the cathode. The electrons flow through the external wire from the Zn electrode (anode) to the Ag electrode (cathode). The correct answer C accurately describes this: Zn(s) is oxidized at the anode, providing electrons that reduce Ag⁺ at the cathode. Answer B incorrectly states the electron flow direction - electrons flow from Zn to Ag, not from Ag to Zn. To predict electron flow in any galvanic cell, identify the more negative E° species as the anode (source of electrons) and the more positive E° species as the cathode (sink for electrons).
In a redox-linked enzymatic assay, a mediator couple is represented by the half-reaction $\text{Ox} + e^- \rightarrow \text{Red}$ with $E^\circ=+0.10,\text{V}$. The assay is paired in a galvanic cell with the O$_2$/H$_2$O couple (acidic conditions): O$_2$ + 4H$^+$ + 4e$^-$ $\rightarrow$ 2H$_2$O, $E^\circ=+1.23,\text{V}$. All activities are ~1. Which outcome would be expected in this electrochemical cell?
O$_2$ is oxidized at the anode because it has the larger positive $E^\circ$ value.
The mediator (Red form) is oxidized at the anode, supplying electrons that reduce O$_2$ at the cathode.
Electrons flow from the O$_2$/H$_2$O half-cell to the mediator half-cell because oxygen is the strongest oxidant present.
The mediator is reduced at the cathode and O$_2$ is reduced at the anode because both half-reactions proceed as reductions.
Explanation
This question tests understanding of redox reactions in biological assay systems using mediator couples. In this galvanic cell, O₂/H₂O has E° = +1.23 V (much higher) compared to the mediator Ox/Red couple with E° = +0.10 V (lower), establishing O₂ as the stronger oxidizing agent. At the cathode, O₂ undergoes reduction: O₂ + 4H⁺ + 4e⁻ → 2H₂O, while at the anode, the reduced form of the mediator undergoes oxidation: Red → Ox + e⁻. Electrons flow from the mediator half-cell (anode) to the O₂/H₂O half-cell (cathode). The correct answer D accurately describes this: the mediator (Red form) is oxidized at the anode, supplying electrons that reduce O₂ at the cathode. Answer A incorrectly suggests O₂ is oxidized - with the highest E° value, O₂ is the strongest oxidant and must be reduced, not oxidized. In biological redox assays, mediators with intermediate E° values facilitate electron transfer between enzymes and electrodes.
A student measures the open-circuit potential of a galvanic cell used as a teaching model for redox reactions in aqueous environments: Mg(s)|Mg$^{2+}$(1.0 M) || Cu$^{2+}$(1.0 M)|Cu(s). Standard reduction potentials: Mg$^{2+}$ + 2e$^-$ $\rightarrow$ Mg(s), $E^\circ=-2.37,\text{V}$; Cu$^{2+}$ + 2e$^-$ $\rightarrow$ Cu(s), $E^\circ=+0.34,\text{V}$. Which statement best reflects the redox principle illustrated?
Cu is oxidized at the anode because it has the more positive $E^\circ$ value.
Electrons flow from Mg to Cu through the external circuit, and Mg(s) mass decreases during operation.
The salt bridge provides electrons to Cu$^{2+}$, so no metal oxidation is required.
Mg is the cathode because it has the more negative $E^\circ$, so it more strongly attracts electrons.
Explanation
This question tests understanding of electron flow and mass changes in galvanic cells involving solid metal electrodes. In this Mg/Cu galvanic cell, Mg²⁺/Mg has E° = -2.37 V (very negative) while Cu²⁺/Cu has E° = +0.34 V (positive), creating a large driving force for spontaneous reaction. The more negative Mg acts as the anode where Mg(s) → Mg²⁺ + 2e⁻ (oxidation), causing the Mg electrode to lose mass as metal atoms enter solution. Electrons flow through the external circuit from Mg (anode) to Cu (cathode), where Cu²⁺ + 2e⁻ → Cu(s) occurs. The correct answer C accurately describes this: electrons flow from Mg to Cu through the external circuit, and Mg(s) mass decreases during operation. Answer A incorrectly identifies Mg as the cathode - the more negative reduction potential means Mg is more easily oxidized, making it the anode. In any galvanic cell with solid metal electrodes, the anode loses mass through oxidation while the cathode gains mass through reduction.
A galvanic cell uses the half-reactions Sn$^{4+}$ + 2e$^-$ → Sn$^{2+}$ ($E^\circ$ = +0.15 V) and Fe$^{3+}$ + e$^-$ → Fe$^{2+}$ ($E^\circ$ = +0.77 V) at 25°C, each at 1.0 M. Which conclusion is most consistent with the electrochemical process in the spontaneous cell?
Both Sn$^{4+}$ and Fe$^{3+}$ are reduced at their respective electrodes because both $E^\circ$ values are positive.
Sn$^{2+}$ is oxidized to Sn$^{4+}$ at the anode, while Fe$^{3+}$ is reduced to Fe$^{2+}$ at the cathode.
Sn$^{4+}$ is reduced at the cathode because it requires more electrons per ion than Fe$^{3+}$.
Fe$^{2+}$ is oxidized to Fe$^{3+}$ at the anode, while Sn$^{4+}$ is reduced to Sn$^{2+}$ at the cathode.
Explanation
This question tests identification of redox reactions when both reduction potentials are positive. Comparing the standard reduction potentials, Fe³⁺/Fe²⁺ (E° = +0.77 V) is more positive than Sn⁴⁺/Sn²⁺ (E° = +0.15 V), so Fe³⁺ undergoes reduction at the cathode while the Sn⁴⁺/Sn²⁺ half-reaction must be reversed to oxidation at the anode. At the cathode: Fe³⁺ + e⁻ → Fe²⁺ (reduction), and at the anode: Sn²⁺ → Sn⁴⁺ + 2e⁻ (oxidation). The spontaneous cell reaction is 2Fe³⁺ + Sn²⁺ → 2Fe²⁺ + Sn⁴⁺ with E°cell = 0.77 - 0.15 = 0.62 V. Choice A incorrectly assigns reduction based on electron stoichiometry rather than E° values, choice B reverses the correct assignments, and choice D incorrectly claims both undergo reduction. When comparing positive E° values: higher E° = reduction at cathode, lower E° = oxidation at anode (half-reaction reversed).
A researcher observes that in a galvanic cell, the mass of one metal electrode increases over time while the other decreases. Which conclusion is most consistent with the electrochemical process causing the mass increase?
Mass increase indicates electrons are being produced there by reduction
The electrode gaining mass must be connected to the negative terminal of a power supply
The electrode gaining mass is the anode where metal atoms oxidize into solution
The electrode gaining mass is the cathode where metal ions are reduced and plate as solid
Explanation
This question tests understanding of mass changes at electrodes in galvanic cells. In galvanic cells, the cathode is where reduction occurs: metal cations in solution gain electrons and deposit as solid metal atoms on the electrode surface, increasing its mass. Conversely, at the anode, solid metal atoms lose electrons and enter solution as cations, decreasing electrode mass. This makes option B correct, identifying the mass-gaining electrode as the cathode where metal ion reduction and plating occur. Option A incorrectly identifies this as the anode, while option C confuses galvanic cells with electrolytic cells. For electrode mass changes: cathode gains mass (reduction/plating), anode loses mass (oxidation/dissolution).
A galvanic cell is built with Co(s)|Co$^{2+}$(1.0 M) and Br$_2$(l)|Br$^-$(1.0 M) on Pt. $E^\circ$(Co$^{2+}$/Co) = -0.28 V; $E^\circ$(Br$_2$/Br$^-$) = +1.07 V. Which outcome would be expected in this electrochemical cell under standard conditions?
Co(s) is oxidized at the anode and Br$_2$ is reduced to Br$^-$ at the cathode
Co$^{2+}$ is reduced at the cathode because it is the only cation present
Electrons flow from bromine to cobalt because halogens are strong reducing agents
Br$^-$ is reduced to Br$_2$ at the cathode and Co(s) is reduced at the anode
Explanation
This question tests understanding of galvanic cells involving halogens. The half-reaction with the more positive reduction potential proceeds as reduction at the cathode. Since E°(Br₂/Br⁻) = +1.07 V > E°(Co²⁺/Co) = -0.28 V, Br₂ will be reduced to Br⁻ at the cathode while Co(s) will be oxidized to Co²⁺ at the anode. This makes option B correct, with Co(s) oxidation at the anode and Br₂ reduction at the cathode, with electrons flowing from Co to the Pt electrode. Option A incorrectly suggests Br⁻ oxidation when Br₂ is already present. For halogen systems, remember that X₂ + 2e⁻ → 2X⁻ is the reduction; the reverse is oxidation.