Mole Concept and Some Basic Concepts of ChemistryhardNUMERICAL

Determine the total amount of electrical charge (expressed strictly in integer Faradays, ) carried bMole Concept and Some Basic Concepts of Chemistry Chemistry Question

Question

Determine the total amount of electrical charge (expressed strictly in integer Faradays, $F$) carried by exactly $1.0\text{ gram-ion}$ of Aluminium ($Al^{3+}$) ions.

Answer: 3

💡 Solution & Explanation

Step 1: Understand "gram-ion". $1\text{ gram-ion}$ of a substance is chemically synonymous with $1\text{ mole}$ of those ions. Step 2: Determine the charge per mole. Each $Al^{3+}$ ion carries a charge of $+3$ elementary charges ($3e$). Therefore, $1\text{ mole}$ of $Al^{3+}$ carries $3 \times N_A \times e$ charge. Step 3: Convert to Faradays. By definition, $1\text{ Faraday}$ ($1\text{ F}$) is the charge of $1\text{ mole}$ of electrons ($N_A \times e$). Thus, the charge is $3\text{ Faradays}$.

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