Chemical reaction equations involving bromate, hydrobromic acid, and organic compounds

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Answer

Answer: The overall process involves applying redox (reduction-oxidation) reactions and balancing chemical equations using the ion-electron method (also known as the half-reaction method).

Explanation:
The sequence of equations describes a series of chemical reactions involving bromine species, hydrogen bromide, and oxidation states. The key concepts involved are:

  • Redox reactions: Reactions where oxidation states change, involving electron transfer.
  • Half-reactions: Separate oxidation and reduction processes, which are balanced separately.
  • Ion-electron method: A systematic way to balance redox equations by balancing atoms and charge via electrons.

The steps involve identifying oxidation and reduction processes, writing half-reactions, balancing atoms and charges, and combining them to form the overall balanced equation.


Steps:

  1. Identify oxidation states and species involved:
  • Bromine in \(\mathrm{BrO_3^-}\) (bromate ion) has an oxidation state of +5.
  • Bromine in \(\mathrm{HBr}\) (hydrogen bromide) has an oxidation state of -1.
  • Bromine in \(\mathrm{Br_2}\) (bromine molecule) has an oxidation state of 0.
  • Bromine in \(\mathrm{HBrO_2}\) (hypobromous acid) has an oxidation state of +3.
  1. Write the oxidation and reduction half-reactions:
  • Reduction: Bromate (\(\mathrm{BrO_3^-}\)) is reduced to bromine (\(\mathrm{Br_2}\)):

\[ \mathrm{BrO_3^- + 6H^+ + 5e^- \rightarrow Br^- + 3H_2O} \]

(This is a standard half-reaction for bromate reduction, but in the context of the sequence, it may be simplified or adapted.)

  • Oxidation: Bromide (\(\mathrm{HBr}\)) is oxidized to bromine (\(\mathrm{Br_2}\)):

\[ 2HBr \rightarrow Br_2 + H_2 \]

(or similar, depending on the specific reaction conditions.)

  1. Balance each half-reaction:
  • For reduction:

\[ \mathrm{BrO_3^- + 6H^+ + 5e^- \rightarrow Br^- + 3H_2O} \]

  • For oxidation:

\[ \mathrm{2HBr \rightarrow Br_2 + H_2} \]

  1. Combine the half-reactions:
  • Equalize electrons:
  • Multiply the reduction half-reaction by 2:

\[ 2\mathrm{BrO_3^- + 12H^+ + 10e^- \rightarrow 2Br^- + 6H_2O} \]

  • Multiply the oxidation half-reaction by 5:

\[ 10HBr \rightarrow 5Br_2 + 5H_2 \]

  • Add:

\[ 2\mathrm{BrO_3^- + 12H^+ + 10e^-} + 10HBr \rightarrow 2Br^- + 6H_2O + 5Br_2 + 5H_2 \]

  • Cancel electrons and simplify as needed.
  1. Interpretation of the sequence:
  • The equations (3)-(10) describe the stepwise transformations, including formation of intermediates like \(\mathrm{HBrO_2}\) and the involvement of \(\mathrm{H^+}\), \(\mathrm{Br_2}\), and \(\mathrm{BrO_3^-}\).
  • The key method is balancing redox equations via half-reactions, considering oxidation states, and ensuring conservation of atoms and charge.

Summary:
The core mathematical concept is the balancing of redox reactions using the half-reaction method, which involves identifying oxidation states, writing separate oxidation and reduction half-reactions, balancing atoms and charge, and combining them to obtain the overall balanced chemical equation.

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