Chemistry
Chemistry
Problem
Rank the following four samples in order of increasing entropy, providing a brief justification for your ordering. • 1.0 mol H₂O(s) at 273 K • 1.0 mol H₂O(l) at 280 K • 1.0 mol H₂O(g) at 280 K • 1.0 mol H₂O(g) at 300 KIntuitive explanation
Entropy depends on two things: the state of matter (solid < liquid < gas, due to molecular freedom) and temperature (higher means more thermal motion and disorder). The key is recognizing that the phase difference dominates over modest temperature changes—a gas at 280 K has far more entropy than a liquid at 280 K—but among gases, temperature still matters. Compare phases first, then refine within the same phase.
Intuitive explanation
Entropy depends on two things: the state of matter (solid < liquid < gas, due to molecular freedom) and temperature (higher means more thermal motion and disorder). The key is recognizing that the phase difference dominates over modest temperature changes—a gas at 280 K has far more entropy than a liquid at 280 K—but among gases, temperature still matters. Compare phases first, then refine within the same phase.