Final answer:
The balanced chemical equation for the decomposition of TNT into nitrogen gas, water vapor, carbon dioxide, and solid carbon is: 2 C7H5N3O6(s) → 3 N2(g) + 5 H2O(g) + 7 CO(g) + 7C(s). This reaction is exothermic, meaning it releases energy.
Step-by-step explanation:
The decomposition of TNT (trinitrotoluene) can be represented by a balanced chemical equation that includes solid carbon (C) as one of the products, along with gaseous nitrogen (N2), carbon dioxide (CO2), and water vapor (H2O). The balanced equation is derived by ensuring that the number of atoms for each element is equal on both sides of the reaction. The balanced equation for TNT decomposition is:
2 C7H5N3O6(s) → 3 N2(g) + 5 H2O(g) + 7 CO(g) + 7C(s)
This reaction is exothermic, releasing energy upon explosion. However, it is important to note that the real decomposition of TNT can be more complex, and the products can vary depending on the conditions. For simplicity, this equation assumes that all the carbon is converted to solid carbon, not carbon monoxide or carbon dioxide which could also be formed.