STEP-BY-STEP ANSWER:
Step 1: Identify the closed system and note that no energy is exchanged with the environment.
Step 2: Recall that the first law states that the total energy within the system remains constant, with only transformations from one form to another.
Step 3: Analyze any energy inputs, outputs, or conversions within the system, ensuring that the sum of these energy changes equals zero overall.
Step 4: Conclude that energy is merely transferred between forms (e.g., from chemical to thermal energy) without any loss or gain of total energy.
Final Answer: In a closed system, the first law verifies that energy is conserved by accounting for energy transformations and ensuring the total remains constant.