JEE Main 2023 · 10 April · evening · Single correct · +4 / −1

Gibbs energy vs T plot for the formation of oxides is given below.
For the given diagram, the correct statement is -

JEE Main PYQ figure
  1. (a) At 600° C, C can reduce FeO
  2. (b) At 600 ° C, C can reduce ZnO
  3. (c) At 600° C, CO can reduce ZnO
  4. (d) At 600 ° C, CO cannot reduce FeO
Answer and solution

Answer (a) At 600° C, C can reduce FeO

Solution

Chemistry ma’am · 3 steps

At 600°C, a reducer works only if its line lies below the metal oxide's line.

  1. The rule. Each line is Δ G° for forming an oxide, per mole of O₂. Subtract one line from the other to get Δ G° for the reduction. It is negative only when the reducer's line lies below the metal oxide's line at that temperature.
    OptionReducer line at 600°CMetal oxide line at 600°CReduction possible?
    (a) C reduces FeOC + O₂ → CO₂: about -340FeO: about -250Yes, C line is below
    (b) C reduces ZnOC + O₂ → CO₂: about -340ZnO: about -515No, C line is above
    (c) CO reduces ZnO2CO + O₂ → 2CO₂: about -260ZnO: about -515No, CO line is above
    (d) CO cannot reduce FeO2CO + O₂ → 2CO₂: about -260FeO: about -250CO can reduce it, so the statement is false
  2. Check option (a). Subtract the FeO line from the carbon line to get 2FeO + C → 2Fe + CO₂. Its Δ G° is negative, so the reaction is spontaneous.

    Δ G° ≈ (-340) - (-250) = -90 kJ mol⁻¹

  3. So. At 600°C, carbon can reduce FeO, so (a) is the correct statement.

The idea to keep. On an Ellingham diagram, the element whose line lies lower at a given temperature can reduce the oxide of any line above it. Always read both lines at the same temperature.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Metallurgy

Asked about 80 times in JEE Main since 2020. This question is from 2023.