The reaction between a carbonyl compound and a reagent can vary depending on the specific reagent and the reaction conditions. Here are some general equations for common reactions of carbonyl compounds:

1. Nucleophilic addition reactions: In these reactions, a nucleophile adds to the carbonyl group, forming a new bond between the nucleophile and the carbon atom of the carbonyl group.

- Addition of water (hydration):

RCHO + H2O → RCH(OH)2 (in acidic conditions)

RCOR + H2O → RCO2H + R'OH (in basic conditions)

- Addition of alcohols (hemiacetal formation):

RCHO + R'OH → RCH(OR')OH (hemiacetal)

RCOR + R'OH → RCO2R' + H2O (ester formation)

- Addition of amines (imine formation):

RCHO + R'NH2 → RCH=NR' + H2O (imine)

RCOR + R'NH2 → RCONR'2 + H2O (amide formation)

- Addition of Grignard reagents (organometallic addition):

RCHO + RMgX → RCH(OH)R'

RCOR + RMgX → RCOR' + MgXOH

2. Electrophilic addition reactions: In these reactions, an electrophile adds to the carbonyl group, forming a new bond between the electrophile and the oxygen atom of the carbonyl group.

- Addition of hydrogen cyanide (cyanohydrin formation):

RCHO + HCN → RCH(OH)CN

- Addition of carbonyl compounds (aldol condensation):

2 RCHO → RCH=CHOH + H2O

2 RCOR → RCOCH2COR + H2O

3. Oxidation reactions: In these reactions, the carbonyl group is oxidized to form a higher oxidation state product.

- Oxidation to carboxylic acids:

RCHO → RCO2H

RCOR → RCO2H + R'OH

4. Reduction reactions: In these reactions, the carbonyl group is reduced to form a lower oxidation state product.

- Reduction to alcohols:

RCHO → RCH2OH

RCOR → RCH2OH + R'OH

- Reduction to aldehydes or ketones:

RCOR → RCHO + R'OH

These are just a few examples of reactions involving carbonyl compounds, and the specific equation will depend on the reagent and reaction conditions.