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 -
- (a) At 600° C, C can reduce FeO
- (b) At 600 ° C, C can reduce ZnO
- (c) At 600° C, CO can reduce ZnO
- (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.
- 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.
Option Reducer line at 600°C Metal oxide line at 600°C Reduction possible? (a) C reduces FeO C + O₂ → CO₂: about -340 FeO: about -250 Yes, C line is below (b) C reduces ZnO C + O₂ → CO₂: about -340 ZnO: about -515 No, C line is above (c) CO reduces ZnO 2CO + O₂ → 2CO₂: about -260 ZnO: about -515 No, CO line is above (d) CO cannot reduce FeO 2CO + O₂ → 2CO₂: about -260 FeO: about -250 CO can reduce it, so the statement is false - 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
- 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.