Question

which scenario would violate the law of conservation of energy? choose 1 answer: a a systems total energy stays the same while it interacts with its surroundings. b a systems total energy decreases while it does not interact with its surroundings. c a systems total energy increases while it interacts with its surroundings. d a systems total energy stays the same while it does not interact with its surroundings.

Explanation:

The law of conservation of energy states that the total energy of an isolated system (a system not interacting with its surroundings) remains constant. For a system interacting with its surroundings, energy can be transferred between the system and surroundings, but the total energy of the system and surroundings combined is conserved. Let's analyze each option:

• Option A: If a system interacts with its surroundings, energy can be exchanged, but the system's total energy staying the same is possible (e.g., if energy in = energy out), so this does not violate the law.
• Option B: If a system does not interact with its surroundings (isolated), its total energy should remain constant. A decrease in total energy here violates the law of conservation of energy.
• Option C: If a system interacts with its surroundings, it can gain energy from the surroundings, so an increase in the system's total energy is possible (e.g., heat added to a system), so this does not violate the law.
• Option D: For an isolated system (not interacting with surroundings), the total energy staying the same is exactly what the law of conservation of energy states, so this is in line with the law.

Answer:

B. A system's total energy decreases while it does not interact with its surroundings.