To solve the problem of how many moles of K₂Cr₂O₇ react with 0.6 moles of K[Fe(CN)₆], we first need to understand the chemical reaction that occurs during the oxidation process. In this case, K[Fe(CN)₆] is oxidized to yield Fe²⁺, CO₂, and NO. The potassium dichromate (K₂Cr₂O₇) acts as the oxidizing agent. Let's break down the reaction step by step.
Understanding the Reaction
The oxidation of K[Fe(CN)₆] involves the transfer of electrons from the iron complex to the dichromate ion. The balanced reaction can be represented as follows:
Oxidation Half-Reaction
The oxidation of K[Fe(CN)₆] can be simplified to:
- K[Fe(CN)₆] → Fe²⁺ + CO₂ + NO + electrons
Reduction Half-Reaction
For the reduction of dichromate, the half-reaction is:
- Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O
Balancing the Overall Reaction
To balance the overall reaction, we need to ensure that the number of electrons lost in the oxidation half-reaction equals the number of electrons gained in the reduction half-reaction. For every mole of K[Fe(CN)₆] oxidized, we can assume it loses 6 electrons (as per the stoichiometry of the reaction). Therefore, we can set up the following relationship:
- 1 mole of K[Fe(CN)₆] reacts with 1 mole of K₂Cr₂O₇ (which provides 6 electrons).
Calculating Moles of K₂Cr₂O₇
Given that we have 0.6 moles of K[Fe(CN)₆], we can determine the moles of K₂Cr₂O₇ required:
- 0.6 moles of K[Fe(CN)₆] will require 0.6 moles of K₂Cr₂O₇.
Final Answer
Thus, the amount of K₂Cr₂O₇ that reacts with 0.6 moles of K[Fe(CN)₆] is 0.6 moles.
This stoichiometric relationship is crucial in understanding how reactants interact in a chemical reaction, especially when dealing with redox reactions where electron transfer is involved. If you have any further questions about this topic or related concepts, feel free to ask!