A ice cube at melts completely while sitting on a plate in an insulated room whose…

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

A 10 g10\,\text{g} ice cube at 0∘C0^{\circ}\text{C} melts completely while sitting on a plate in an insulated room whose air temperature remains slightly above 0∘C0^{\circ}\text{C}. Taking the ice cube as the system and the room air as the surroundings, which statement best describes the magnitudes and signs of the entropy changes? (a) ΔSsystem>0\Delta S_{\text{system}} > 0 ; ΔSsurroundings<0\Delta S_{\text{surroundings}} < 0 and ∣ΔSsurroundings∣<∣ΔSsystem∣|\Delta S_{\text{surroundings}}| < |\Delta S_{\text{system}}| (b) ΔSsystem>0\Delta S_{\text{system}} > 0 ; ΔSsurroundings<0\Delta S_{\text{surroundings}} < 0 and ∣ΔSsurroundings∣=∣ΔSsystem∣|\Delta S_{\text{surroundings}}| = |\Delta S_{\text{system}}| (c) ΔSsystem<0\Delta S_{\text{system}} < 0 ; ΔSsurroundings>0\Delta S_{\text{surroundings}} > 0 and ∣ΔSsurroundings∣>∣ΔSsystem∣|\Delta S_{\text{surroundings}}| > |\Delta S_{\text{system}}| (d) ΔSsystem>0\Delta S_{\text{system}} > 0 ; ΔSsurroundings>0\Delta S_{\text{surroundings}} > 0 and ∣ΔSsurroundings∣>∣ΔSsystem∣|\Delta S_{\text{surroundings}}| > |\Delta S_{\text{system}}|

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