The reaction of ethyl magnesium bromide (CH₃CH₂MgBr) with methanol (CH₃OH) is a Grignard reaction. Grignard reagents are strong nucleophiles and bases, and they react with acidic protons to form alkanes.

Here's the equation for the reaction:

CH₃CH₂MgBr + CH₃OH → CH₃CH₃ + MgBrOCH₃

Explanation:

* CH₃CH₂MgBr: This is the Grignard reagent, ethyl magnesium bromide.

* CH₃OH: This is methanol, which acts as the acidic proton source.

* CH₃CH₃: This is ethane, the alkane formed as the product.

* MgBrOCH₃: This is magnesium bromide methoxide, a byproduct of the reaction.

Mechanism:

1. The nucleophilic carbon in the Grignard reagent attacks the acidic hydrogen of the methanol molecule.

2. The bond between the hydrogen and oxygen in methanol breaks, forming ethane (CH₃CH₃) and a magnesium bromide methoxide (MgBrOCH₃) ion.

Note: This reaction is highly exothermic and can be quite vigorous.