How many mole of electrons are required for the reduction of 1 mole of Cr3+ to Cr(s)?
6.022 x 1023
Concept:
The reduction of metal ions to their elemental form is a fundamental concept in electrochemistry. In this case, we are considering the reduction of chromium ions (Cr3+) to solid chromium metal (Cr(s)).
Reduction Half-Reaction:
The balanced half-reaction for this process is:
Cr3+(aq) + 3e−
\(\rightarrow\)
Cr(s)
This equation tells us that for every mole of Cr3+ ions reduced, 3 moles of electrons are required. Electrons act as reducing agents by supplying the negative charge needed to neutralize the positive charge on the Cr3+ ion, converting it to its metallic (zero oxidation state) form.
Explanation:
• Chromium in the +3 oxidation state (Cr3+) gains 3 electrons.
• This electron gain reduces Cr3+ to Cr(s), which is the metallic form of chromium.
• The number of electrons added must match the charge of the ion being reduced to balance both mass and charge.
Conclusion:
Since the reduction of one mole of Cr3+ requires exactly 3 moles of electrons, the correct and balanced stoichiometric value is 3.
Therefore, the correct answer is: 3.