Questions: Question 2
Under which of the following conditions would one mole of Ne have the highest entropy, S?
137°C and 25 L
27°C and 25 L
137°C and 35 L
27°C and 35 L
Transcript text: Question 2
Under which of the following conditions would one mole of Ne have the highest entropy, S?
$137^{\circ} \mathrm{C}$ and 25
$27^{\circ} \mathrm{C}$ and 25 L
$137^{\circ} \mathrm{C}$ and 35 L
$27^{\circ} \mathrm{C}$ and 35 L
Solution
Solution Steps
Step 1: Identify the factors affecting entropy
Entropy (\(S\)) is a measure of the disorder or randomness in a system. For a given amount of gas, entropy increases with temperature and volume.
Step 2: Compare temperatures
Higher temperatures result in higher entropy. Compare the given temperatures:
\(137^{\circ} \mathrm{C}\) is higher than \(27^{\circ} \mathrm{C}\).
Step 3: Compare volumes
Higher volumes result in higher entropy. Compare the given volumes:
\(35 \, \text{L}\) is higher than \(25 \, \text{L}\).
Step 4: Determine the condition with the highest entropy
The condition with both the highest temperature and the highest volume will have the highest entropy. Therefore, \(137^{\circ} \mathrm{C}\) and \(35 \, \text{L}\) is the condition under which one mole of Ne would have the highest entropy.
Final Answer
\(\boxed{137^{\circ} \mathrm{C} \text{ and } 35 \, \text{L}}\)