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UPSC Civil Services (Mains)

Chemistry optional

  • 2 papers
  • 250 marks each
  • 3 h per paper
  • 5 of 8 questions, Q1 and Q5 compulsory

Paper I covers physical and inorganic chemistry.

UPSC Civil Services (Mains), Chemistry optional · 2022 · Paper I

Q3(b). Entropy changes when an ice cube melts in the sea at 0 °C

Question

A 74.6 g ice cube floats in the sea. The temperature and pressure of the system and surroundings are 0 °C and 1 atm. Calculate ΔSsyst, ΔSsurr and ΔSuniv for the melting of ice cube. What can you conclude about the nature of process from the value of ΔSuniv? (The molar heat of fusion of water is 6.01 kJ/mol)

Answer in brief

ΔSsyst = +91.1 J K⁻¹, ΔSsurr = −91.1 J K⁻¹, ΔSuniv = 0; the melting is reversible: ice and water are in equilibrium at 0 °C and 1 atm.

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The full model answer

As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

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Coversentropy of fusionsecond law of thermodynamicsentropy of universereversible processphase equilibrium