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GATE 2020 CY – Question 52

Physical Chemistry · Equilibrium: Laws of thermodynamics. Standard states. Thermochemistry. Thermodynamic functions and their relationships: Gibbs-Helmholtz and Maxwell relations, Gibbs-Duhem equation, Van’t Hoff equation. Criteria of spontaneity and equilibrium. Absolute entropy. Partial molar quantities. Thermodynamics of mixing. Chemical potential. Fugacity, Activity and Activity coefficient. Chemical equilibria. Dependence of equilibrium constant on temperature and pressure. · 2 marks · Multiple choice

At 298 K, gaseous Fe has ΔGf° = 370.7 kJ/mol and ΔHf° = 416.3 kJ/mol. Assume ΔHf° constant from 250 to 375 K. Find ΔGf° at 375 K, nearest integer.

  1. 359 kJ/mol
  2. 338 kJ/mol
  3. 325 kJ/mol
  4. 310 kJ/mol

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Correct answer: (A) 359 kJ/mol

Explanation

From ΔG = ΔH−TΔS, the 298 K formation entropy is $(416.3-370.7)/298=0.15302$ kJ/(mol K). Under the constant-enthalpy approximation, Gibbs–Helmholtz gives $\Delta G(375)=416.3-375(0.15302)=358.92$ kJ/mol, rounding to 359, A.

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