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ExamsJEE AdvancedChemistry

The surface of copper can become tarnished due to the formation of copper oxide. To prevent this, nitrogen gas (N₂) was passed while heating copper at 1250 K. However, the N₂ gas contains 1 mole % of water vapor as an impurity, which oxidizes copper according to the reaction below: 2Cu(s) + H₂O(g) → Cu₂O(s) + H₂(g) The minimum partial pressure of H₂ (in bar) required to stop the oxidation of copper at 1250 K is represented as P_H₂. Determine the value of ln(P_H₂).

  1. -4.60
  2. -3.60
  3. -2.60
  4. -1.60

Correct answer: -4.60

Solution

The equilibrium constant for the reaction involving copper oxidation depends on the partial pressures of H₂ and H₂O. Using thermodynamic data and the given temperature, the minimum ln(P_H₂) required to prevent oxidation is calculated as -4.60.

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