Electrochem2

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Questions and Answers

What condition is indicated by the degree symbol (°), when used with standard cell potential (E°)?

  • Variable temperature and pressure
  • Ideal gas conditions
  • Standard conditions at 25°C (correct)
  • Non-standard conditions

A voltaic cell is set up with a zinc electrode in a $Zn^{2+}$ solution and a copper electrode in a $Cu^{2+}$ solution. Given that the standard reduction potential for $Zn^{2+}$ is -0.76V and for $Cu^{2+}$ is +0.34V, what is the standard cell potential (E°) for this voltaic cell?

  • -1.10 V
  • 0.42 V
  • 1.10 V (correct)
  • -0.42 V

For a redox reaction to be spontaneous, what must be the sign of the overall standard cell potential (E°)?

  • Positive (correct)
  • Imaginary
  • Negative
  • Zero

When a half-reaction is reversed, what effect does this have on the voltage (E)?

<p>The sign of the voltage changes. (D)</p> Signup and view all the answers

In balancing redox reactions, why is it important to balance the number of electrons transferred in each half-reaction?

<p>To ensure that the overall reaction is electrically neutral. (B)</p> Signup and view all the answers

Consider the following balanced redox reaction: $2Al(s) + 3Cu^{2+}(aq) \rightarrow 2Al^{3+}(aq) + 3Cu(s)$. If the standard reduction potential for $Cu^{2+}$ is +0.34 V and for $Al^{3+}$ is -1.66 V, what is the overall voltage (E°) for this reaction?

<p>2.00 V (C)</p> Signup and view all the answers

In an electrolytic cell, if a metal is being plated onto a cathode, what change in mass will be observed at the anode?

<p>The mass of the anode will decrease. (D)</p> Signup and view all the answers

What does ΔG represent in the equation ΔG = -nFE?

<p>The change in Gibbs free energy (A)</p> Signup and view all the answers

If a current of 5.0 amps is applied for 300 seconds, what is the total charge (Q) in coulombs that has flowed?

<p>1500 coulombs (B)</p> Signup and view all the answers

In the electrolysis of a solution of $CuSO_4$, a current is passed resulting in the deposition of copper metal. If it is known that 2 moles of electrons are required to deposit 1 mole of copper, how many grams of copper will be deposited by 96,500 coulombs of charge?

<p>31.75 grams (D)</p> Signup and view all the answers

A standard reduction potential chart lists half-reactions as both gaining and losing electrons.

<p>False (B)</p> Signup and view all the answers

A negative overall standard cell potential (E) indicates a spontaneous reaction.

<p>False (B)</p> Signup and view all the answers

To obtain a positive overall standard cell potential (E) from two half-reactions, the half-reaction with a positive voltage needs to be flipped.

<p>False (B)</p> Signup and view all the answers

Flipping a half-reaction converts the process from reduction to oxidation, and the sign of its voltage remains unchanged.

<p>False (B)</p> Signup and view all the answers

When balancing half-reactions, multiplying the coefficients affects the voltage (E) of the half-reaction.

<p>False (B)</p> Signup and view all the answers

If the half reactions are balanced, the overall voltage of a cell can be found by multiplying the voltage of each half-reaction.

<p>False (B)</p> Signup and view all the answers

In the zinc-silver reaction, zinc goes from aqueous to solid, resulting in a loss of mass of the silver electrode.

<p>False (B)</p> Signup and view all the answers

The equation $\Delta G = -nFE$ relates Gibbs free energy ($\Delta G$) to the number of protons transferred (n), Faraday's constant (F), and standard cell potential (E).

<p>False (B)</p> Signup and view all the answers

Faraday's constant (F) is equal to 96,500 Coulombs per mole of protons.

<p>False (B)</p> Signup and view all the answers

Producing 120 amps of current for 60 seconds requires approximately 23.5 grams of zinc.

<p>False (B)</p> Signup and view all the answers

Flashcards

Standard Cell Potential (E°)

Voltage measured under standard conditions (25°C).

Standard Reduction Potential Chart

Lists half-reactions as reduction processes (gain of electrons).

Positive Overall E°

Indicates a spontaneous reaction will occur.

Flipping a Half-Reaction

Changing the sign of the voltage (E°).

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Balancing Electrons in Half-Reactions

Ensure same number of electrons in each half-reaction.

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Combining Half-Reactions

Reactants + Reactants -> Products + Products, add the voltages

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Electrom Thermo Equation

ΔG = -nFE (Gibbs free energy)

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Electrochemistry & Stoichiometry Equation

I = Q/T (current = charge/time)

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Converting Charge to Moles of Electrons

Use Faraday's constant to convert coulombs to moles of electrons.

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Calculating Mass of Metal

Find mass using moles of metal and molar mass.

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Oxidation Reaction

The process where a species loses electrons.

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Reduction Reaction

The reaction that occurs at the cathode.

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Multiplying Coefficients

Voltage is independent of this.

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Faraday's Constant (F)

96,500 Coulombs per mole of electrons.

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Negative Overall E

It indicates a non-spontaneous reaction.

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Study Notes

Standard Cell Potential Calculation

  • Standard conditions are at 25°C, denoted by the degree symbol (°).
  • To calculate the standard cell potential (E), a standard reduction potential chart is needed.
  • Standard reduction potential charts list half-reactions, all written as gaining electrons (reduction).
  • To find the overall voltage, identify the half-reactions for the metals involved (e.g., zinc and silver) on the chart.
  • For silver: Ag+ + e- → Ag, E = 0.8 volts
  • For zinc: Zn+2 + 2e- → Zn, E = -0.76 volts
  • A positive overall E indicates a spontaneous reaction; a negative E indicates a non-spontaneous reaction requiring electrolysis.
  • If the overall E is negative, the reaction will need electrolysis, or electricity, to proceed because, being non-spontaneous, it needs energy to proceed.

Oxidation and Reduction

  • The half-reaction with a negative voltage needs to be flipped to make the overall E positive.
  • Flipping a reaction changes it from reduction to oxidation.
  • The reaction that is flipped is the oxidation reaction
  • When flipping a reaction, change the sign of its voltage (e.g., -0.76 volts becomes +0.76 volts).

Balancing Half-Reactions

  • Balance the number of electrons in both half-reactions by multiplying coefficients as needed to achieve the same number of electrons.
  • Multiplying coefficients does not change the voltage (E) of the half-reaction; voltage is independent of coefficients.

Calculating Overall Cell Potential

  • Add the balanced half-reactions together, including reactants, products, and voltages.
  • The overall voltage (standard cell potential) is the sum of the voltages of the half-reactions
  • Example overall cell potential is 1.56 volts
  • In the example reaction, zinc goes from solid to aqueous, and silver goes from aqueous to solid.
  • In the example reaction, silver gains mass, and zinc loses mass.
  • The number of electrons transferred in the balanced equation is noted for further calculations.

Electrochemical Equations

  • ΔG = -nFE relates Gibbs free energy (ΔG) to the number of electrons transferred (n), Faraday's constant (F), and standard cell potential (E).
  • F (Faraday's constant) = 96,500 Coulombs per mole of electrons.
  • I = Q/T, where I is current in amperes, Q is charge in Coulombs, and T is time in seconds.

Stoichiometry Example

  • Given current and time, calculate the charge (Q) in Coulombs.
  • Use Faraday's constant to convert Coulombs to moles of electrons.
  • Use the balanced reaction to find the ratio of moles of electrons to moles of substance (e.g., zinc).
  • Convert moles of substance to grams using molar mass.
  • Produced 120 amps of current in 60 seconds
  • Producing 120 amps for 60 seconds requires approximately 2.35 grams of zinc.
  • The gram amount corresponds to the amount of zinc needed to produce electricity at a given current and time.

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