Balance the following equation in acidic conditions Phases are optional

acidic-conditions

#1

Balance the following equation in acidic conditions Phases are optional.
S2O3 2- + Cu 2+ —> S4O6 2- + Cu+

Concepts and reason
Write the given unbalanced reaction in two half reactions separately.
Balance the atoms other than O and H on both sides. Then, balance the O and H.
Balance the electrons at last. Add the two half reactions to get the final balanced reaction.

Fundamentals
A balanced equation is an equation which contains all the reactants and products in a fixed ratio. A balanced equation has the following characteristics:

  1. It should follow the law of conservation of mass.
  2. The total number of different types of elements on reactant side should be equal to the product side.
  3. Stoichiometric coefficients are put in front of the molecules on both the reactant and product side to balance a given reaction. The coefficients to be used are whole number or fractional number.

Answer:

The unbalanced reaction is written as follows:
image
The half reactions are written as follows:
image

Explanation:
Separate the given unbalanced reaction in two half reactions involving the two species.

On balancing the S atoms, the reactions obtained are as follows:
image

Explanation:
Add a coefficient of 2 before image to balance S atoms.
The Cu atoms are balanced.

On balancing the O atom and electrons, the reactions obtained are as follows:
image

Explanation:
The O atoms are balanced. Balance the charge using the electrons.

There are two image atoms with a charge of -2. So, total charge is -4.
The charge of image is -2. So, add 2 electrons to the product side to balance the electrons in the first equation.
image has +2 charge and image has +1 charge. So, add one electron to the reactants in the second equation.
Multiply the second equation by 2 to equate the number of electrons in both the half reactions:
image

The balanced reaction is written as follows:
image

image

Explanation:
The two reactions after balancing the electrons and atoms are as follows:
image
Add both half reactions as follows:
image

This is the final balanced reaction.