Final answer:
The correct balanced chemical equation for the production of elemental boron by heating diboron trioxide with magnesium metal is B2O3 + 3Mg → 2B + 3MgO, and evidence of this chemical reaction can include a change in color.
Step-by-step explanation:
The balanced chemical equation to represent the industrial process where elemental boron is produced by heating diboron trioxide with magnesium metal is:
B2O3 + 3Mg → 2B + 3MgO
Evidence that a chemical reaction occurred during the production of elemental boron from diboron trioxide and magnesium metal includes a change in color, which is a common sign of a chemical change. The reaction of boric oxide with magnesium powder forms brown, amorphous boron powder, indicating a change has taken place.