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Exercises · 6.23

Q.The choice of a reducing agent in a particular case depends on thermodynamic factor. How far do you agree with this statement? Support your opinion with two examples.

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Step 1 – State the underlying principle

Yes, this statement is largely correct: the practical choice of which reducing agent to use for a given metal oxide is fundamentally decided by thermodynamics, specifically by comparing the relative thermodynamic stability of the competing oxides — visualised on the Ellingham diagram (ΔfG∘\Delta_fG^\circ vs T for different oxide-formation reactions). At a given temperature, the reducing agent whose own oxide-formation line lies BELOW the target oxide's line is thermodynamically capable of reducing it (its own oxide is more stable, "wins" the oxygen).

Step 2 – Example 1: Al reduces Cr2O3Cr_2O_3 (aluminothermic/thermite process)

Given ΔfG∘(Cr2O3)=−540\Delta_fG^\circ(Cr_2O_3) = -540 kJ/mol and ΔfG∘(Al2O3)=−827\Delta_fG^\circ(Al_2O_3) = -827 kJ/mol:

Cr2O3+2Al→Al2O3+2Cr,ΔrG∘=−827−(−540)=−287 kJ/molCr_2O_3 + 2Al \rightarrow Al_2O_3 + 2Cr, \quad \Delta_rG^\circ = -827-(-540) = -287\ kJ/mol

Since Al2O3Al_2O_3 formation is much more thermodynamically favourable than Cr2O3Cr_2O_3 formation, Al can reduce Cr2O3Cr_2O_3 — this is exactly the thermodynamic factor deciding the choice of Al as the reducing agent for chromium extraction (and similarly for iron, in the classic thermite reaction).

Step 3 – Example 2: carbon (not CO) reduces ZnO at high temperature

Below about 983 K, CO is the thermodynamically better reducing agent (its oxide-formation line — for CO→CO2CO \to CO_2 — lies lower); above 983 K the C,CO line drops lower instead, making carbon the better reducing agent. Since ZnO must be reduced at a high temperature (~1673 K) to proceed at a reasonable rate/scale, we are above this crossover, and thermodynamics dictates that carbon (coke), not CO, is the effective reducing agent used industrially: ZnO+C→Zn+COZnO + C \rightarrow Zn + CO.

Step 4 – Caveat …

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