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(a) What conditions must be met for a reduction potential to be a standard reduction potential? (b) What is the standard reduction potential of a standard hydrogen electrode? (c) Why is it impossible to measure the standard reduction potential of a single half-reaction?

Short Answer

Expert verified
(a) For a reduction potential to be a standard reduction potential, the following conditions must be met: 1. Temperature: 25°C (298K). 2. Pressure: 1 atm (101.3 kPa). 3. Concentration: 1 M for all ions in the solution. (b) The standard reduction potential of a standard hydrogen electrode (SHE) is set as 0 volts. (c) It is impossible to measure the standard reduction potential of a single half-reaction because a half-reaction cannot occur independently. It must be paired with another half-reaction to form a complete redox reaction. Hence, a reference electrode like the SHE is used to measure the reduction potential of other half-reactions.

Step by step solution

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(a) Conditions for a standard reduction potential

A standard reduction potential is the potential that occurs under standard conditions. The conditions that must be met for a reduction potential to be a standard reduction potential are: 1. Temperature: The temperature should be 25°C (298K). 2. Pressure: The pressure should be 1 atm (101.3 kPa). 3. Concentration: The concentrations of all ions in the solution should be 1 M.
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(b) Standard reduction potential of a standard hydrogen electrode

The standard hydrogen electrode (SHE) is used as a reference electrode to measure the standard reduction potentials of other half-reactions. By definition, the standard reduction potential of a standard hydrogen electrode is set as 0 volts.
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(c) Impossibility to measure the standard reduction potential of a single half-reaction

It is impossible to measure the standard reduction potential of a single half-reaction because a half-reaction cannot occur independently. A complete redox reaction consists of both a reduction and an oxidation half-reaction. When measuring the potential of a half-reaction, it must be paired with another half-reaction to have a complete redox reaction. That's why we use a reference electrode, such as the standard hydrogen electrode, to measure the reduction potential of other half-reactions.

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Key Concepts

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

Standard Hydrogen Electrode
The Standard Hydrogen Electrode (SHE) plays a pivotal role in electrochemistry and is the benchmark for measuring electrode potentials. Imagine it as the 'zero-point' or the core reference for all redox reactions that involve transfer of electrons. By setting the SHE at a potential of 0 volts, we create a standard baseline to which all other half-cell potentials can be compared.

The SHE consists of a platinum electrode submerged in a 1 M hydrochloric acid solution, where hydrogen gas at 1 atm pressure bubbles around it. This setup must be maintained at the standard temperature of 25°C (298 K) to ensure accuracy. The beauty of the SHE is its simplicity and reproducibility, allowing chemists around the world to use it as a common reference point.

Relevance of the SHE

In the context of your exercise, understanding the SHE is crucial for comparing the potential of other half-reactions and determining their tendencies to gain or lose electrons. This is particularly useful when predicting the outcomes of reactions and designing batteries, fuel cells, and other electrochemical devices.
Redox Reaction
A redox reaction is a chemical process involving the movement of electrons between two substances. It is composed of two concurrent processes: oxidation, where an atom or molecule loses electrons, and reduction, where an atom or molecule gains electrons. To remember which is which, you may have come across the mnemonic 'OIL RIG' - Oxidation Is Loss, Reduction Is Gain.

In the realm of these reactions, electrons are like currency, and the substances that participate in redox reactions are either keen on donating their electrons (reducing agents) or hungry for acquiring more electrons (oxidizing agents). As a student grappling with these concepts, visualizing reactions in terms of electron 'transactions' can provide a clearer understanding of the underlying principles at play.

Importance for Understanding Reduction Potentials

Your question on measuring standard reduction potentials can't be fully grasped without a fundamental understanding of redox reactions. Each redox reaction has a characteristic urge or 'drive' to happen, and the standard reduction potential is a numerical way to express this drivetrain. It is measured against the SHE, helping us to predict which reactions can occur spontaneously.
Reference Electrode
The reference electrode, such as the SHE, is the keystone in the arch of electrochemical measurements. It serves as a constant and stable half-cell that provides a fixed point against which other half-reactions are measured. Without a stable reference electrode, it would be like trying to measure length without a standard ruler - chaotic and inconsistent.

In your studies, you'll see that a reference electrode must maintain a consistent and known electrode potential. The SHE, with its potential defined at 0 volts, offers us a reliable standard. However, not just any electrode can be a reference. These special electrodes must exhibit predictable behavior and should be unaffected by the solution in which they're placed in, hence why the SHE's conditions are so precisely set.

Why We Need Reference Electrodes

When facing the impossibility of measuring the potential of a half-reaction alone, you're encountering the rationale for reference electrodes. By comparing the potential of a half-reaction to the SHE, chemists deduce the absolute potential of various substances. This knowledge is seminal in analytics, research, and various industrial applications.

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Most popular questions from this chapter

If you were going to apply a small potential to a steel ship resting in the water as a means of inhibiting corrosion, would you apply a negative or a positive charge? Explain.

A common shorthand way to represent a voltaic cell is anode | anode solution || cathode solution |cathode A double vertical line represents a salt bridge or a porous barrier. A single vertical line represents a change in phase, such AS from solid to solution. (a) Write the half-reactions and overall cell reaction represented by Fe \(\left|\mathrm{Fe}^{2+}\right|\left|\mathrm{Ag}^{+}\right| \mathrm{Ag}_{\mathrm{g}}\) sketch the cell. (b) Write the half-reactions and overall cell reaction represented by \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{H}^{+}\right| \mathrm{H}_{3}\) s sketch the cell. (c) Using the notation just described, represent a cell based on the following reaction: $$ \begin{aligned} \mathrm{ClO}_{3}^{-}(a q)+3 \mathrm{Cu}(s)+6 \mathrm{H}^{+}(a q) & \longrightarrow \mathrm{Cl}^{-}(a q)+3 \mathrm{Cu}^{2+}(a q)+3 \mathrm{H}_{2} \mathrm{O}(l) \end{aligned} $$ Pt is used as an inert electrode in contact with the \(\mathrm{ClO}_{3}^{-}\)and Cl. Sketch the cell.

A voltaic cell is constructed that is based on the following reaction: $$ \mathrm{Sn}^{2+}(a q)+\mathrm{Pb}(s) \longrightarrow \mathrm{Sn}(s)+\mathrm{Pb}^{2+}(a q) $$ (a) If the concentration of \(\mathrm{Sn}^{2+}\) in the cathode half-cell is \(1.00 \mathrm{M}\) and the cell generates an emf of \(+0.22 \mathrm{~V}\), what is the concentration of \(\mathrm{Pb}^{2+}\) in the anode half-cell? (b) If the anode half-cell contains \(\left[\mathrm{SO}_{4}{ }^{2-}\right]=1.00 \mathrm{M}\) in equilibrium with \(\mathrm{PbSO}_{4}(s)\), what is the \(K_{4 p}\) of \(\mathrm{PbSO}_{4}\) ? Batteries and Fuel Cells (Section 20.7)

The \(K_{s p}\) value for \(\mathrm{PbS}(s)\) is \(8.0 \times 10^{-23}\), By using this value together with an electrode potential from Appendix E, determine the value of the standard reduction potential for the reaction $$ \mathrm{PbS}(s)+2 \mathrm{e}^{-} \longrightarrow \mathrm{Pb}(s)+\mathrm{S}^{2-}(a q) $$

Indicate whether each of the following statements is true or false: (a) If something is reduced, it is formally losing electrons. (b) A reducing agent gets oxidized as it reacts. (c) An oxidizing agent is needed to convert \(\mathrm{CO}\) into \(\mathrm{CO}_{2}\).

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