How do you solve and represent #"disproportionation reactions"#? Is there an easy way to do this?

Answer 1

Other than by writing separate oxidation and reduction reactions? Not to my knowledge...... And you asked a rather open-ended question.

This is best illustrated by an actual example. Chlorine gas is known to undergo disproportionation in alkaline conditions to give #"chloride"# and #"chlorate ions"#. This is the EXPERIMENTAL result, which must simply be known.
#"Reduction"# #1/2Cl_2(g) + e^(-) rarr Cl^(-)# #(i)#
#"Oxidation"# #1/2Cl_2(g) + 6HO^(-) rarr ClO_3^(-)+ 5e^(-) +3H_2O# #(ii)#
And #5xx(i) + (ii)# gives:
#3Cl_2(g) + 6HO^(-) rarr 5Cl^(-) + ClO_3^(-)+3H_2O#

which, as is always necessary, is balanced in terms of both mass and charge. It is evident that zerovalent chlorine gas has undergone a disproportionation reaction, which results in reduction to chloride ions and oxidation to chlorate ions.

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Answer 2

To solve and represent disproportionation reactions, identify the element that undergoes both oxidation and reduction within the same reaction. Balance the atoms of that element first, then balance the rest of the atoms and charges accordingly. There isn't necessarily an easy way to do this, but practicing with examples can help improve proficiency.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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