Step 1: Understand the process of cellular respiration. Cellular respiration is a metabolic process where glucose (\(\mathrm{C_6H_{12}O_6}\)) is broken down in the presence of oxygen (\(\mathrm{O_2}\)) to produce carbon dioxide (\(\mathrm{CO_2}\)), water (\(\mathrm{H_2O}\)), and energy in the form of ATP.
Step 2: Recall the general chemical equation for cellular respiration. The correct equation is: \(\mathrm{C_6H_{12}O_6} + 6\,\mathrm{O_2} \rightarrow 6\,\mathrm{CO_2} + 6\,\mathrm{H_2O} + \text{energy}\). This equation shows that one molecule of glucose reacts with six molecules of oxygen to produce six molecules of carbon dioxide, six molecules of water, and energy.
Step 3: Analyze the given options. Compare each option to the general equation for cellular respiration. Look for the correct reactants (glucose and oxygen) and products (carbon dioxide, water, and energy).
Step 4: Eliminate incorrect options. For example, the first option incorrectly lists water (\(\mathrm{H_2O}\)) as a reactant instead of oxygen. The third option represents photosynthesis, not cellular respiration, as it shows the production of glucose and oxygen. The fourth option incorrectly lists carbon dioxide as a reactant.
Step 5: Identify the correct option. The second option matches the general equation for cellular respiration: \(\mathrm{C_6H_{12}O_6} + 6\,\mathrm{O_2} \rightarrow 6\,\mathrm{CO_2} + 6\,\mathrm{H_2O} + \text{energy}\). This is the balanced chemical equation for cellular respiration.