Based on the Information in the Table of Standard Reduction

question 45

Multiple Choice

Based on the information in the table of standard reduction potentials below, what is the standard cell potential for an electrochemical cell that has iron, Fe, and magnesium, Mg, electrodes? Also, identify the cathode. Standard Reduction Potentials (volts) in Aqueous
Solution
$\begin{array} { l l } \mathrm { Pb } ^ { 4 + } + 2 \mathrm { e } ^ { - } \rightarrow \mathrm { Pb } ^ { 2 + } & + 1.80 \\ \mathrm { Au } ^ { 3 + } + 3 \mathrm { e } ^ { - } \rightarrow \mathrm { Au } & + 1.50 \\ \mathrm { Fe } ^ { 3 + } + 3 \mathrm { e } ^ { - } \rightarrow \mathrm { Fe } & + 0.771 \\ \mathrm { I } _ { 2 } + 2 \mathrm { e } ^ { - } \rightarrow 2 \mathrm { I } ^ { - } & + 0.535 \\ \mathrm {~Pb} ^ { 2 + } + 2 \mathrm { e } ^ { - } \rightarrow \mathrm { Pb } & - 0.124 \\ \mathrm { Al } ^ { 3 + } + 3 \mathrm { e } ^ { - } \rightarrow \mathrm { Al } & - 1.66 \\ \mathrm { Mg } ^ { 2 + } + 2 \mathrm { e } ^ { - } \rightarrow \mathrm { Mg } & - 2.37 \\ \mathrm {~K} ^ { + } + \mathrm { e } ^ { - } \rightarrow \mathrm { K } & - 2.93 \end{array}$

• A) +3.14 V with Fe as the cathode
• B) +3.14 V with Mg as the cathode
• C) -3.14 V with Fe as the cathode
• D) -3.14 V with Mg as the cathode
• E) +1.60 V with Fe as the cathode

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Definitions:

Output

Refers to the total amount of goods or services produced by an entity in a given period.

Production Function

A mathematical relationship that describes the maximum amount of output that can be produced from a given set of inputs under certain technology.

Returns To Scale

The rate at which production output increases as a result of a proportional increase in all inputs or resources.

Marginal Product

The increase in output resulting from a one-unit increase in the input, keeping all other inputs constant.