Final Answer:
Alex is correct. The equation's balance is not solely determined by the count of individual elements on both sides. Other coefficients must be considered to ensure a balanced chemical equation.
Step-by-step explanation:
In chemical equations, balancing requires the conservation of both atoms and mass. Penny's argument focuses solely on the count of Fe (iron) atoms on both sides. However, a balanced equation needs equal numbers of each type of atom and the same total mass on both sides. Let's consider the equation:
Fe + O₂ → Fe₂O₃
There's one Fe atom on each side, but when accounting for oxygen, the equation is unbalanced. On the left side, there are two oxygen atoms (from O₂), while the right side has three (from Fe₂O₃). This disparity signifies an imbalance in the equation's elemental composition.
Balancing this equation involves adjusting coefficients to equalize the number of atoms on both sides. By adding a coefficient of 3 before Fe on the left side:
3Fe + O₂→ Fe₂O₃
Now, there are three Fe atoms on both sides and six oxygen atoms (from 3O₂) on the left, which balances with six oxygen atoms on the right (from Fe₂O₃). This alteration ensures both the conservation of Fe and the overall balance of atoms in the equation.
Therefore, Alex's disagreement with Penny is justified. A balanced chemical equation involves equalizing the number of atoms of each element on both sides by adjusting coefficients, not merely counting individual atoms of one element.