🎩 AIfred Intelligence

Okay, the user wants me to balance the combustion of ethanol using LaTeX. Let me recall the chemical formula for ethanol. Ethanol is C₂H₅OH, which can also be written as C₂H₆O. When ethanol combusts, it reacts with oxygen (O₂) to produce carbon dioxide (CO₂) and water (H₂O). So the unbalanced equation is C₂H₆O + O₂ → CO₂ + H₂O. Now, I need to balance the atoms on both sides. Let's start with carbon. There are 2 carbons in ethanol, so I need 2 CO₂ molecules on the right. Next, hydrogen. Ethanol has 6 hydrogens, so I need 3 H₂O molecules to balance that (since each H₂O has 2 H). Now, oxygen. On the left, we have 1 oxygen from ethanol and 2 from O₂, totaling 1 + 2x. On the right, we have 2*2=4 oxygens from CO₂ and 3*1=3 from H₂O, totaling 7. So the equation for oxygen is 1 + 2x = 7. Solving for x gives 3, so 3 O₂ molecules. Putting it all together: C₂H₆O + 3 O₂ → 2 CO₂ + 3 H₂O. Let me check again. Carbon: 2 on each side. Hydrogen: 6 on each side. Oxygen: left side is 1 + 3*2 = 7, right side is 2*2 + 3*1 = 7. Perfect, balanced. Now, I need to present this in LaTeX. The equation should be written with proper formatting. Also, the user might want the reaction conditions, like heat, but since they didn't specify, maybe just the balanced equation. I'll make sure the coefficients are correct and the formulas are properly subscripted.