Difficulty: Medium
Correct Answer: The total energy of the molecules of the object
Explanation:
Introduction / Context:
In thermodynamics and kinetic theory, it is important to distinguish between related concepts such as temperature, internal energy and heat. Students often mix these ideas. This question specifically asks what we mean when we talk about the heat energy or internal energy of an object in terms of the microscopic motion and interaction of its molecules. Clarifying this distinction helps you understand how energy is stored and transferred in physical systems.
Given Data / Assumptions:
- We consider a macroscopic object composed of many molecules.
- The phrase “heat energy of an object” is interpreted in the sense of internal energy associated with molecular motion and interactions.
- Options include average or total energy, average velocity and average potential energy of the molecules.
Concept / Approach:
Temperature is related to the average kinetic energy of the molecules. Internal energy (often loosely called heat energy) is the sum of all forms of microscopic energy of the molecules, including translational, rotational and vibrational kinetic energies, as well as potential energies associated with intermolecular forces. Therefore, the heat energy or internal energy of an object is best described as the total microscopic energy of all its molecules, not just an average value or just one component.
Step-by-Step Solution:
Step 1: Recall that temperature is proportional to the average kinetic energy of molecules in an ideal gas.
Step 2: Understand that internal energy includes all microscopic kinetic and potential energies of the molecules.
Step 3: Recognise that simply talking about average energy or average velocity does not capture the full energy content of the object.
Step 4: Option B states that heat energy is the total energy of the molecules, which matches the idea of internal energy.
Step 5: Conclude that the best description of the heat energy of an object is the total energy of the molecules.
Verification / Alternative check:
In thermodynamics, internal energy U is defined as the sum of all microscopic kinetic and potential energies of the particles in a system. When you supply heat to an object, you increase this internal energy, which may show up as a temperature rise or a phase change. Standard textbooks explicitly separate the idea of temperature (related to average kinetic energy) from internal energy (total microscopic energy). This supports the choice of the total energy of the molecules as the correct description.
Why Other Options Are Wrong:
The average energy of the molecules of the object: This is more closely associated with temperature than with total heat content.
The average velocity of the molecules of the object: Average velocity can be zero in a stationary object, but the molecules can still have kinetic energy in random motion; this does not define heat energy accurately.
The average potential energy of the molecules of the object: Potential energy is only one part of internal energy; ignoring kinetic energy makes this incomplete.
Common Pitfalls:
A frequent mistake is to use the terms heat, temperature and internal energy interchangeably. Students sometimes think higher temperature always means more total heat energy, which is not necessarily true for objects of different sizes. Another pitfall is to focus on molecular velocity or kinetic energy alone and ignore potential energy contributions. Always remember that internal or heat energy is a total sum over all microscopic degrees of freedom in the object.
Final Answer:
Heat energy of an object is best described as the total energy of the molecules of the object, which is its internal energy.
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