Final answer:
The question entails understanding how to balance chemical equations and the important rule that the coefficients must maintain a consistent ratio, ensuring the law of conservation of mass is met.
Step-by-step explanation:
The question involves balancing chemical equations, which is a fundamental concept in high school chemistry. The given chemical equations, 2H₂ + O₂ → 2H₂O (hydrogen and oxygen gas combining to form water) and 4NH₃ + 3O₂ → 2N₂ + 6H₂O (ammonia and oxygen gas reacting to form nitrogen gas and water), are both balanced using the lowest whole-number ratio for coefficients, which is a standard convention in writing balanced chemical equations.
For instance, the equation 4H₂ + 2O₂ → 4H₂O follows the same ratio, and although not in their simplest form, they are still balanced because they maintain a 2:1:2 ratio among the respective reactants and products. Balancing equations ensures that the law of conservation of mass is upheld, meaning the number of atoms for each element is equal on both sides of the equation, illustrating that matter is neither created nor destroyed in the reaction.