The electrodes in a silver oxide battery are silver oxide \(\left(\mathrm{Ag}_{2} \mathrm{O}\right)\) and zinc. (a) Which electrode acts as the anode? (b) Which battery do you think has an energy density most similar to the silver oxide battery: a Li-ion battery, a nickelcadmium battery, or a lead-acid battery?

Short Answer

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(a) In a silver oxide battery, the Zinc electrode acts as the anode. (b) Among Li-ion, nickel-cadmium, and lead-acid batteries, the Li-ion battery has an energy density most similar to the silver oxide battery.

Step by step solution

01

Understanding the Redox Reaction in a Silver Oxide Battery

In a silver oxide battery, the redox (reduction-oxidation) reaction occurs between silver oxide (Ag2O) and zinc. During the chemical reaction in the battery, electrons will flow from one electrode to the other, creating a potential difference that can be used to power devices.
02

Identify the Anode

The anode is the electrode that undergoes oxidation, meaning it loses electrons. In the case of a silver oxide battery, the Zinc (Zn) electrode will lose electrons and will be oxidized to Zinc ion (Zn²⁺), thus acting as the anode.
03

Identify the Cathode

The cathode is the electrode that undergoes reduction, receiving the electrons lost by the anode. In this case, the silver oxide (Ag₂O) electrode will receive electrons and will be reduced to silver (Ag), thus acting as the cathode. Summarizing, (a) Zinc electrode acts as the anode.
04

Comparing Energy Densities

To answer part (b) of the question, we need to compare the energy densities of Li-ion, nickel-cadmium, and lead-acid batteries to the energy density of a silver oxide battery. The energy density is a measure of how much energy the battery can store per unit of mass or volume. Based on the general properties of these batteries, we can deduce the following energy densities: - Li-ion battery: High energy density; - Nickel-cadmium battery: Medium energy density; - Lead-acid battery: Low energy density. The energy density of a silver oxide battery is relatively high due to the high capacity of silver to store chemical energy. Considering that information, we can deduce that the Li-ion battery has an energy density most similar to the silver oxide battery.

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Most popular questions from this chapter

During a period of discharge of a lead-acid battery, \(300 \mathrm{~g}\) of \(\mathrm{PbO}_{2}(s)\) from the cathode is converted into \(\mathrm{PbSO}_{4}(s)\). (a) What mass of \(\mathrm{Pb}(s)\) is oxidized at the anode during this same period? (b) How many coulombs of electrical charge are transferred from \(\mathrm{Pb}\) to \(\mathrm{PbO}_{2}\) ?

The capacity of batteries such as a lithium-ion battery is expressed in units of milliamp-hours (mAh). A typical battery of this type yields a nominal capacity of \(2000 \mathrm{mAh}\). (a) What quantity of interest to the consumer is being expressed by the units of \(\mathrm{mAh}\) ? (b) The starting voltage of a fresh lithium-ion battery is \(3.60 \mathrm{~V}\). The voltage decreases during discharge and is \(3.20 \mathrm{~V}\) when the battery has delivered its rated capacity. If we assume that the voltage declines linearly as current is withdrawn, estimate the total maximum electrical work the battery could perform during discharge.

Consider a redox reaction for which \(E^{\circ}\) is a negative number. (a) What is the sign of \(\Delta G^{\circ}\) for the reaction? (b) Will the equilibrium constant for the reaction be larger or smaller than \(1 ?\) (c) Can an electrochemical cell based on this reaction accomplish work on its surroundings?

Hydrogen gas has the potential for use as a clean fuel in reaction with oxygen. The relevant reaction is $$ 2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}(l) $$ Consider two possible ways of utilizing this reaction as an electrical energy source: (i) Hydrogen and oxygen gases are combusted and used to drive a generator, much as coal is currently used in the electric power industry; (ii) hydrogen and oxygen gases are used to generate electricity directly by using fuel cells that operate at \(85^{\circ} \mathrm{C} .\) (a) Use data in Appendix \(\mathrm{C}\) to calculate \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) for the reaction. We will assume that these values do not change appreciably with temperature. (b) Based on the values from part (a), what trend would you expect for the magnitude of \(\Delta G\) for the reaction as the temperature increases? (c) What is the significance of the change in the magnitude of \(\Delta G\) with temperature with respect to the utility of hydrogen as a fuel? (d) Based on the analysis here, would it be more efficient to use the combustion method or the fuel-cell method to generate electrical energy from hydrogen?

Mercuric oxide dry-cell batteries are often used where a flat discharge voltage and long life are required, such as in watches and cameras. The two half-cell reactions that occur in the battery are $$ \begin{array}{l} \mathrm{HgO}(s)+\mathrm{H}_{2} \mathrm{O}(l)+2 \mathrm{e}^{-} \longrightarrow \mathrm{Hg}(l)+2 \mathrm{OH}^{-}(a q) \\ \mathrm{Zn}(s)+2 \mathrm{OH}^{-}(a q) \longrightarrow \mathrm{ZnO}(s)+\mathrm{H}_{2} \mathrm{O}(l)+2 \mathrm{e}^{-} \end{array} $$ (a) Write the overall cell reaction. (b) The value of $E_{\text {red }}^{\circ}\( for the cathode reaction is \)+0.098 \mathrm{~V}$. The overall cell potential is \(+1.35 \mathrm{~V}\). Assuming that both half-cells operate under standard conditions, what is the standard reduction potential for the anode reaction? (c) Why is the potential of the anode reaction different than would be expected if the reaction occurred in an acidic medium?

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