What happens to the entropy of a system when it undergoes a reversible isotherma

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Question: What happens to the entropy of a system when it undergoes a reversible isothermal expansion?

Options:

Correct Answer: Increases

Solution:

During a reversible isothermal expansion, the entropy of the system increases as the gas expands and does work on the surroundings.

What happens to the entropy of a system when it undergoes a reversible isothermal expansion?

What happens to the entropy of a system when it undergoes a reversible isothermal expansion?

Correct Answer: Entropy increases.

Step 1: Understand what entropy is. Entropy is a measure of disorder or randomness in a system.
Step 2: Know what a reversible isothermal expansion is. It is a process where a gas expands slowly at a constant temperature.
Step 3: Recognize that during this expansion, the gas molecules move apart, increasing the disorder in the system.
Step 4: Realize that as the gas expands, it does work on the surroundings, which also contributes to the change in entropy.
Step 5: Conclude that because the disorder increases when the gas expands, the entropy of the system increases.

Entropy Change – Entropy is a measure of disorder or randomness in a system, and during a reversible isothermal expansion, the entropy of the system increases due to the increase in volume and the work done on the surroundings.
Reversible Process – A reversible process is an idealized process that can be reversed without leaving any trace on the surroundings, which is crucial for understanding the behavior of entropy in thermodynamic systems.
Isothermal Process – An isothermal process occurs at a constant temperature, which means that the internal energy of an ideal gas remains constant during the expansion, affecting the calculation of work and heat transfer.