In Order to Determine the Identity of a Particular Lanthanide

question 89

Multiple Choice

In order to determine the identity of a particular lanthanide metal (M) ,a voltaic cell is constructed at 25°C with the anode consisting of the lanthanide metal as the electrode immersed in a solution of 0.0467 M MCl₃,and the cathode consisting of a copper electrode immersed in a 1.00 M Cu(NO₃) ₂ solution.The two half-reactions are as follows:
M(s) M³⁺(aq) + 3e^- Cu²⁺(aq) + 2e^- Cu(s)
The potential measured across the cell is 2.70 V.What is the identity of the metal?
Reduction Half-Reaction
E° (V)
Cu²⁺(aq) + 2e^- Cu(s) 0.34
Ce³⁺(aq) + 3e^- Ce(s) -2.336
Tm³⁺(aq) + 3e^- Tm(s) -2.319
Eu³⁺(aq) + 3e^- Eu(s) -1.991
Gd³⁺(aq) + 3e^- Gd(s) -2.279
Sm³⁺(aq) + 3e^- Sm(s) -2.304

• A)Tm
• B)Gd
• C)Ce
• D)Eu
• E)Sm

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Definitions:

Nonpayers

Individuals who benefit from a good or service without contributing to its cost, often associated with public goods.

Nonrival in Consumption

A characteristic of some goods or services where one person's consumption does not reduce availability for others.

Marginal Cost

The additional cost incurred by producing one more unit of a product or service, a key concept used in decision-making and pricing strategies.

Public Good

A good that is non-excludable and non-rivalrous, meaning individuals cannot be effectively excluded from its use and one person's use does not reduce availability to others.