Write the elements and show the the balanced chemical equation for lime.

What kind of "lime" are you talking about? There are several. You'd better read this first.

http://www.lime.org/lime_basics/faq.asp

What reaction of lime are you talking about? A chemical formula is not a reaction

h2o

To write the chemical formula and balanced equation for lime, we first need to determine the chemical formula for lime. Lime is a common name for calcium oxide (CaO).

The next step is to write the balanced equation, which represents the chemical reaction when lime is formed. Lime is typically produced by heating calcium carbonate (CaCO3), such as limestone, which breaks down to form calcium oxide (CaO) and carbon dioxide (CO2) gas.

The balanced chemical equation for the formation of lime can be written as:

CaCO3(s) → CaO(s) + CO2(g)

In this equation, (s) denotes a solid state, and (g) represents a gas state.

By heating calcium carbonate, it decomposes into calcium oxide and carbon dioxide gas. The balanced equation ensures that the number of atoms of each element remains the same on both sides of the equation.