If 3.25 ×10^-3 kg of gold is deposited on the negative...

If $3.25 \times 10^{-3} \mathrm{~kg}$ of gold is deposited on the negative electrode of an electrolytic cell in a period of $2.78 \mathrm{~h}$, what is the current in the cell during that period? Assume the gold ions carry one elementary unit of positive charge.

Key Concepts

Unit Conversion

Unit conversion is a fundamental concept in science that ensures consistency across different measurement systems. In problems dealing with electrical and chemical calculations, converting units—such as hours to seconds or kilograms to grams—is critical to correctly apply formulas and obtain results in the standard units used in physics and chemistry.

Stoichiometry in Electrochemistry

Stoichiometry in electrochemistry involves converting between the mass of a substance deposited or dissolved and the number of moles, and subsequently the number of electrons or ions involved in the electrochemical reaction. This conversion is essential for relating the macroscopic measurements, such as mass and time, to the microscopic behavior of charged particles.

Electric Current

Electric current is the rate at which electric charge flows through a conductor or circuit. Measured in amperes (A), it quantifies how much charge passes a given point per unit time. Understanding current is fundamental in analyzing circuits and processes such as electrolysis, where the flow of charged species drives chemical reactions.

Electric Charge

Electric charge is a property of matter that causes it to experience a force when placed in an electromagnetic field. It is quantified in coulombs (C) and is carried by particles such as electrons or ions. The concept of charge is crucial in calculating the total amount transferred during processes like electrolysis, where each ion contributes a discrete elementary charge.

Faraday's Laws of Electrolysis

Faraday's laws of electrolysis establish the relationship between the amount of substance altered at an electrode and the total electric charge that passes through the electrolyte. They provide a way to calculate how much material is deposited or dissolved based on the quantity of charge transferred, linking chemical changes to measurable electrical parameters.

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