Electrochemistry Quiz

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Questions and Answers

Which of the following best describes the atomic arrangement in an amorphous solid?

  • Short-range order with no long-range periodicity (correct)
  • Long-range order with sharp melting points
  • Composed of large perfect single crystal
  • Highly ordered, repeating patterns

A unit cell containing a total of four atoms is characteristic of which crystal structure?

  • Face Centered Cubic (FCC) (correct)
  • Tetragonal
  • Body Centered Cubic (BCC)
  • Simple Cubic

Which crystal system is defined by having unequal side lengths and all angles equal to 90 degrees?

  • Cubic
  • Triclinic
  • Tetragonal
  • Orthorhombic (correct)

Given that iron crystallizes in a body-centered cubic structure with a density of 7.874 g/cm³ and a molar mass of 55.845 g/mol, calculate the approximate atomic radius of iron. (Use $N_A = 6.022 \times 10^{23}$)

<p>124 pm (B)</p> Signup and view all the answers

A gold crystal has a density of 12.64 g/cm³ and an edge length of 4.695 x 10⁻⁸ cm. Given a molar mass of 196.967 g/mol, and $N_A= 6.022 \times 10^{23}$, identify its unit cell type.

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

Bragg's Law is essential in which of the following techniques?

<p>X-ray crystallography (C)</p> Signup and view all the answers

According to Bragg's Law, when the angle of incidence is 30°, what is the wavelength for the first-order spectrum in terms of spacing d?

<p>d (A)</p> Signup and view all the answers

In the context of Band Theory, what term is used to describe the region of allowed energy levels that electrons can occupy in a solid material?

<p>Energy Zone (A)</p> Signup and view all the answers

In the unbalanced redox reaction $Sn + NO_3^- \rightarrow SnO_2 + NO_2$, what is the stoichiometric molar ratio of $SnO_2$ to $NO_3^-$?

<p>4/1 (D)</p> Signup and view all the answers

How many electrons are involved in the redox reaction $Cr_2O_7^{2-} + SO_3^{2-} \rightarrow Cr^{3+} + SO_4^{2-}$?

<p>6 (B)</p> Signup and view all the answers

What type of cell generates electricity due to spontaneous processes, but when provided energy can achieve non-spontaneous processes?

<p>Galvanic cell (C)</p> Signup and view all the answers

Which of the following statements is TRUE regarding an electrolytic cell?

<p>Requires energy to function (C)</p> Signup and view all the answers

In an electrochemical cell, which component is where oxidation occurs?

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

Given the reaction $Au^{3+}(aq) + Br^-(aq) \rightarrow Au(s) + Br_2(g)$, with $Au^{3+}(aq) + 3e^- \rightarrow Au(s)$ ($E^0 = 1.50V$) and $Br_2(aq) + 2e^- \rightarrow 2Br^-(aq)$ ($E^0 = 1.09V$), what is the standard cell potential ($E^0_{cell}$) and is the reaction spontaneous?

<p>$E^0_{cell}=0.41$ V, spontaneous (C)</p> Signup and view all the answers

Considering the reaction $Na^+(aq) + Ag(s) \rightarrow Na(s) + Ag^+(aq)$ with $Ag^+(aq) + e^- \rightarrow Ag(s)$ ($E^0 = +0.80V$) and $Na^+(aq) + e^- \rightarrow Na(s)$ ($E^0 = -2.71V$), which of the following statements is NOT true?

<p>The reaction occurs in a galvanic cell (D)</p> Signup and view all the answers

Based on standard reduction potentials, which combination of species will react spontaneously, presuming one oxidation and one reduction takes place from the following: I. $Fe^{3+}$ and $Ag$ , II. $Au^{3+}$ and $Fe^{2+}$ , III. $Hg^{2+}$ and $Cr$ II. $Ag^+$ and $Fe^{2+}$ (See partial standard reduction table below)

<p>II and III (C)</p> Signup and view all the answers

Given the standard reduction potentials, which of the following combination of reactions will occur spontaneously?

<p>Cu$^{2+}$ and Na (B)</p> Signup and view all the answers

Which of the following reactions is not possible to occur in a galvanic cell?

<p>$Cu^{2+} + 2Ag \rightarrow 2Ag^{+} + Cu$ (B)</p> Signup and view all the answers

For the reaction $Cu^{2+} + Zn \rightarrow Zn^{2+} + Cu$, given the standard reduction potentials, $Cu^{2+} + 2e^- \rightarrow Cu$ E° = +0.34V; $Zn^{2+} + 2e^- \rightarrow Zn$ E° = -0.76V, calculate the standard free energy change and predict its spontaneity.

<p>-214 kJ/mol, spontaneous (D)</p> Signup and view all the answers

Given the reaction: $Au^{3+}(aq) + Br^{-}(aq) \rightarrow Au(s) + Br_2(g)$, with standard reduction potentials $Au^{3+}(aq) + 3e^- \rightarrow Au(s) E^0$ = 1.50V, $Br_2(aq) + 2e^- \rightarrow 2Br^-(aq)$ $E^0$ = 1.09V, what is the equilibrium constant of the reaction?

<p>3.72 x 10$^{41}$ (C)</p> Signup and view all the answers

Referring to the redox reaction $Ag^+(aq) + Na(s) \rightarrow Ag(s) + Na^+(s)$, with standard reduction potentials: $Ag^+(aq) + e^- \rightarrow Ag(s)$ E° = +0.80V and $Na^+(aq) + e^- \rightarrow Na(s)$ E° = -2.71V, what will be the $E_{cell}$ if [$Ag^+$]=2.7M and [$Na^+$]=1.2M?

<p>3.53 V (D)</p> Signup and view all the answers

Which battery has 6 sets of cells submerged in a sulfuric acid electrolyte, is rechargeable and commonly used in automobiles?

<p>Lead Storage Battery (B)</p> Signup and view all the answers

Which statement is TRUE about a Mercury Battery?

<p>There are no changes in its electrolyte composition during operation (A)</p> Signup and view all the answers

What is the deterioration process of a metal through an electrochemical process?

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

Which type of electrochemical cell uses electrical energy to drive a nonspontaneous chemical reaction?

<p>Electrolytic cell (D)</p> Signup and view all the answers

Given the following standard reduction potentials: $Ag^+ (aq) + e^- \rightarrow Ag(s)$ $E^0 = +0.80 V$ and $Fe^{3+}(aq) + e^- \rightarrow Fe^{2+}(aq)$ $E^0 = +0.77 V$. What is the standard cell potential ($E^0_{cell}$) for the reaction $Fe^{3+}(aq) + Ag(s) \rightarrow Fe^{2+}(aq) + Ag^+(aq)$, and would this reaction occur spontaneously in an electrolytic cell?

<p>$E^0_{cell} = -0.03 V$, no (B)</p> Signup and view all the answers

Copper metal is purified by electrolysis from copper (II) oxide. If a current of 10.0 A is applied for 12.0 hours, approximately how many grams of copper will be produced? (Molar mass of Cu = 63.546 g/mol, F = 96485 C/mol)

<p>142 g (A)</p> Signup and view all the answers

How much time is required to electroplate a flute with 28.3 g of silver from a silver nitrate ($AgNO_3$) solution at constant current of 2.0 amps, using the fact that the molar mass of silver is 107.90 g/mol?

<p>211 min (C)</p> Signup and view all the answers

If 1.00 gram of lead (Pb, 207.2 g/mol) is consumed at the anode of a lead-acid car battery, and a current of 0.500 amps is used to recharge it, approximately how long will it take to turn the $PbSO_4$ back into lead?

<p>62 min (A)</p> Signup and view all the answers

According to the phase diagram provided, which points represent conditions where only the liquid phase is present?

<p>c, d, e, and g only (C)</p> Signup and view all the answers

Referring to the same phase diagram at which point represents L phase?

<p>4 and only (A)</p> Signup and view all the answers

Referring to the provided phase diagram, which point represents the phase β?

<p>Point 1 (C)</p> Signup and view all the answers

Flashcards

Electrolytic Cell

An electrochemical cell that uses electrical energy to drive a non-spontaneous chemical reaction.

Standard Cell Potential (E°cell)

The potential difference between the two electrodes of an electrochemical cell under standard conditions (298 K, 1 atm, 1 M concentrations).

Electroplating

The process of using electric current to deposit a metal onto a surface.

Faraday's Constant (F)

The amount of electric charge required to produce one mole of electrons.

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Electrolytic Mass

The mass of a substance deposited or liberated during electrolysis, calculated using Faraday's laws.

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Electrolysis Time

The time it takes for a certain amount of substance to be deposited or liberated during electrolysis, calculated using Faraday's laws.

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Phase Diagram

A phase diagram shows the different phases (solid, liquid, gas) of a substance at different temperatures and pressures.

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Liquid Phase (L)

The point on a phase diagram where the liquid phase of a substance exists.

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What's the stoichiometric molar ratio of SnO2/NO3- in the balanced redox reaction: Sn + NO3- → SnO2 + NO2?

The stoichiometric molar ratio of SnO2/NO3- in the balanced redox reaction is 1:4. This ratio represents the number of moles of SnO2 to NO3- involved in the reaction.

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How many electrons are involved in the redox reaction: Cr2O72- + SO32- → Cr3+ + SO42- ?

The redox reaction involves the transfer of 6 electrons. The oxidation state of Cr changes from +6 in Cr2O72- to +3 in Cr3+, a change of 3 electrons per Cr atom. Since there are 2 Cr atoms, a total of 6 electrons are transferred. Meanwhile, the oxidation state of S changes from +4 in SO32- to +6 in SO42-. This involves a 2 electron transfer per S atom.

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What is an electrolytic cell?

An electrolytic cell is a device that uses electrical energy to drive non-spontaneous chemical reactions, essentially forcing them to occur.

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What's true about electrolytic cells?

Electrolytic cells require an external energy source to operate. They are not spontaneous processes.

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Where does oxidation occur in an electrochemical cell?

The anode is the electrode where oxidation occurs. Oxidation is the loss of electrons, and the anode is where electrons are released into the external circuit.

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Analyze the reaction: Na+ (aq) + Ag(s) →Na(s) + Ag+ (s) Ag+ (aq) + e- → Ag(s) E⁰=+0.80 V Na+ (aq) + e- → Na(s) E⁰= -2.71 V

This reaction has a negative cell potential (Ecell = -1.51 V), indicating it's non-spontaneous and requires external energy to occur. It can't function as a galvanic cell.

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What is a galvanic cell?

A galvanic cell generates electricity due to spontaneous chemical reactions occurring within the cell. These reactions result in the flow of electrons through an external circuit, generating electrical energy.

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What is the standard cell potential (Ecell) and spontaneity of the reaction: Au3+ (aq) + Br- (aq) → Au(s) + Br2 (g) Au3+ (aq) + 3e- → Au(s) E⁰ = 1.50 V Br2 (aq) + 2e- → 2Br- (aq) E⁰ = 1.09 V

The standard cell potential (Ecell) is the difference between the standard reduction potentials of the cathode and the anode. A positive Ecell indicates that the reaction is spontaneous and will proceed without the need for external energy. In this case, Ecell = 1.50 V - 1.09 V = 0.41 V, indicating that the reaction is spontaneous.

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Amorphous Solid

A solid material lacking a well-defined, repeating, internal structure. It lacks long-range order in the arrangement of its constituent particles.

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Unit Cell

It represents the arrangement of atoms inside of a crystal and shows how they are arranged in space.

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Cubic Crystal Lattice

A crystal lattice where all sides of the unit cell are equal in length, and all angles between sides are 90°. Think of a cube!

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Tetragonal Crystal Lattice

A crystal lattice where all sides are equal in length, but two of the angles between sides are 90°.

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Orthorhombic Crystal Lattice

A crystal lattice where all sides are different lengths and all angles are 90°.

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Bragg's Law

Bragg's Law explains the diffraction patterns of X-rays when they interact with crystalline structures.

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Energy Band

A range of energy levels that electrons can occupy in a solid material. It describes the allowed energy states for electrons within a material.

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Semiconductor at Absolute Zero

Semiconductors act as insulators when the temperature is absolute zero (-273.15°C). Electrons are frozen in place and cannot move.

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How to calculate the cell potential (Ecell) and determine spontaneity?

A galvanic cell is a device that converts chemical energy into electrical energy. A spontaneous reaction drives the flow of electrons. The cell potential (Ecell) is positive. Given the reactions, 𝐶𝑢2+ + 2𝑒 − → 𝐶𝑢 𝐸 0 = +0.34 𝑉 and 𝑍𝑛+ + 2𝑒 − → 𝑍𝑛 𝐸 0 = −0.76 𝑉, the cell potential: Ecell = E(cathode)-E(anode) would be 0.34-(-0.76)= 1.1V. Therefore, the reaction is spontaneous.

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How to calculate the equilibrium constant (K) for a redox reaction?

The equilibrium constant (K) for a redox reaction is related to the standard cell potential by the Nernst equation. The Nernst equation is Ecell = E°cell - (RT/nF)lnQ. K is the equilibrium constant, lnQ is the natural logarithm of the reaction quotient, n is the number of moles of electrons transferred in the balanced reaction, F is Faraday's constant, R is the ideal gas constant, and T is the temperature in Kelvin. For standard conditions, lnQ=0, so Ecell = E°cell. By using a rearranged Nernst equation and solving for K, we get K=exp[nF E°cell /RT].

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What is the Nernst equation?

The Nernst equation describes the relationship between the cell potential, standard cell potential, and the concentration of the reactants and products. The Nernst equation is Ecell = E°cell - (RT/nF)lnQ. Ecell is the cell potential, E°cell is the standard cell potential, R is the ideal gas constant (8.314 J/mol·K), T is the temperature in Kelvin, n is the number of moles of electrons transferred in the balanced reaction, F is Faraday's constant (96,485 C/mol), and Q is the reaction quotient. The reaction quotient, Q, is a measure of the relative amounts of reactants and products at any given time.

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What is a lead-acid battery?

A lead-acid battery is a type of rechargeable battery which utilizes lead and lead oxide as electrodes and a solution of sulfuric acid as the electrolyte. It is commonly used in automobiles.

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What is corrosion?

Corrosion is the deterioration of a metal through an electrochemical process. The metal acts as the anode, and it oxidizes to form metal ions. The electrons released at the anode travel through the metal to a cathode, where they reduce a substance like oxygen or hydrogen ions. This process creates a flow of electrons, which is an electric current. Corrosion is a natural process that can be accelerated by environmental factors such as moisture, temperature, and the presence of corrosive substances.

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What is a mercury battery?

A mercury battery is a type of battery that uses mercury as a cathode. It is known for its long shelf life, consistent voltage output, and good energy density. However, mercury batteries are hazardous and their use is being phased out due to environmental concerns.

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What is the standard cell potential (E°cell)?

The standard cell potential (E°cell) is the cell potential of a galvanic cell under standard conditions. Standard conditions are defined as 298 K (25 °C), 1 atm pressure, and 1 M concentration for all solutions. It is the difference between the standard reduction potential (E°red) of the cathode and the standard reduction potential (E°red) of the anode. The standard cell potential is a measure of the tendency of the redox reaction to occur spontaneously. A positive E°cell indicates that the reaction is spontaneous, while a negative E°cell indicates that the reaction is nonspontaneous.

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Study Notes

Stoichiometric Molar Ratio

  • The ratio of SnO₂ to NO₃⁻ in the unbalanced redox reaction Sn + NO₃⁻ → SnO₂ + NO₂ is 4/1

Number of Electrons Involved

  • In the redox reaction Cr₂O₇²⁻ + SO₃²⁻ → Cr³⁺ + SO₄²⁻, 6 electrons are involved.

Cell Types

  • A galvanic cell generates electricity from spontaneous processes.
  • An electrolytic cell requires energy to drive a non-spontaneous process.
  • An electrochemical cell is a general term encompassing both galvanic and electrolytic cells.

Electrolytic Cell Characteristics

  • Electrolytic cells require energy to function.
  • Electrolytic cells exhibit a positive Ecell (cell potential).
  • Electrolytic cells involve non-spontaneous processes.
  • Electrolytic cells produce electrical energy.

Oxidation in Electrochemical Cells

  • Oxidation occurs at the anode.

Standard Cell Potential

  • For the reaction Au³⁺(aq) + Br⁻(aq) → Au(s) + Br₂ (g), the standard cell potential (E°cell) is 0.41 V.
  • The reaction is spontaneous.

False Statements For the Na⁺(aq) + Ag(s) Reaction

  • The reaction Na⁺(aq) + Ag(s) → Na(s) + Ag⁺(s) , the reaction is non-spontaneous and does not occur spontaneously in a galvanic cell.
  • The Ecell (cell potential) is negative.
  • Energy is needed to make the reaction occur.

Electrochemical Species Reactions

  • Some electrochemical species react spontaneously while others do not. Spontaneous reactions occur when the combination of species is favorable based on the reduction potentials. Determining if a combination is spontaneous requires evaluation of each species’ individual reduction potential.

Reactions Not Possible in a Galvanic Cell

  • Certain redox reactions are not possible in galvanic cells as they indicate non-spontaneous reactions.

Free Energy and Spontaneity

  • For the reaction Cu²⁺ + Zn → Zn²⁺ + Cu, the calculated free energy is -214x10³ kJ/mol and the reaction is nonspontaneous.

Equilibrium Constant Calculation

  • For the reaction Au³⁺(aq) + Br⁻(aq) → Au(s) + Br₂ (g), the equilibrium constant is 6.10 x 10²⁰

Redox Reaction and Phase Diagram

  • Describing the phase conditions of a material based on a given table.
  • There is no sufficient information to generate a summary based on the data provided.

Electroplating Time

  • Information required to calculate the time needed to electroplate a substance is not given.

Electroplating Consumption

-To determine recharging the battery time, the information about the consumption of lead-acid battery needed is not given.

Phase Diagram Points

  • Phase diagram points showing the conditions for a material to exist as a liquid are highlighted.

Phase Presence

  • The table represents conditions of a material at a certain point in a graph.

Amorphous Solid Images

  • Certain images of chemical structure indicate amorphous solids based on their appearance.

Unit Cell Atoms

  • The unit cell with 4 atoms is the simple cubic.

Crystal Lattice Angles

  • A crystal lattice with differing side lengths and 90 angles between them is orthorhombic.

Atomic Radius Calculation

  • The atomic radius of a given material calculated using information about its density and other properties.

X-ray Crystallography and Diffraction

  • The Bragg's law specifically relates to X-ray crystallography procedures and measurements.

Band Theory Terminology

  • The term in band theory relating to the range of energy levels that electrons can occupy in a solid material is energy zone.

Semiconductor Behavior at Absolute Zero

  • Semiconductors at an absolute zero temperature are insulators in their properties.

Polymer Types and Properties

  • Descriptions of different polymers based on a classification scheme showing their physical behaviors.

Composite Materials

  • Types of composite materials are introduced and distinguished in descriptions, showing how they are categorized.

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