Atomic masses can be determined by electrolysis. In one...

Atomic masses can be determined by electrolysis. In one hour, a current of 0.600 A deposits 2.42 g of a certain metal, M , which is present in solution as $\mathrm{M}^{+}$ions. What is the atomic mass of the metal?

Key Concepts

Molar Mass Determination Using Electrolysis Data

By combining the concepts of Faraday's laws and stoichiometry, one can relate the measured mass of an electroplated substance to the number of moles of electrons transferred. This relationship allows for the calculation of the atomic mass of a metal when the specific electrochemical reduction process is known, exemplifying how experimental electrolysis data can yield fundamental atomic properties.

Stoichiometry of Electrochemical Reactions

In electrolysis, the stoichiometric relationship between the electrons transferred and the ions reduced or oxidized is key to connecting the electrical input to the chemical output. For a reaction where each ion gains an electron to form the neutral element, the number of moles of electrons is directly related to the number of moles of metal deposited, providing a critical link in calculating atomic masses.

Electric Charge and Time-Current Relationship

Understanding the relationship between current, time, and electric charge is critical. The total charge passing through an electrochemical cell is calculated using the product of current (in amperes) and time (in seconds). This calculation is essential for linking the electrical energy input to the chemical change observed during electrolysis.

Faraday's Laws of Electrolysis

These laws state that the mass of a substance deposited or dissolved at an electrode during electrolysis is proportional to the quantity of electricity (charge) passed through the electrolyte. This principle forms the foundation for determining relationships between electrical current, time, and the amount of material transformed in an electrochemical reaction.

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