1. Tardigrade
  2. Question
  3. Chemistry
  4. The following two reactions are known Fe2O3(s) + 3CO(g) arrow 2Fe(s) + 3CO2(g); Δ H = - 26.8 kJ FeO(s) + CO (g) arrow Fe(s) + CO2(g); Δ H - 16.5 kJ The value of Δ H for the following reaction Fe2O3(s) + CO(g) arrow 2FeO(s) + CO2(g) is

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Q. The following two reactions are known $Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe(s) + 3CO_2(g); \Delta H = - 26.8 \, kJ $
$FeO(s) + CO (g) \rightarrow Fe(s) + CO_2(g); \Delta H - 16.5 \, kJ$
The value of $\Delta H$ for the following reaction $Fe_2O_3(s) + CO(g) \rightarrow 2FeO(s) + CO_2(g) $ is

AIPMTAIPMT 2010Thermodynamics

Solution:

Given,
(I) $F e_2 O(s)+3 C O(g) \rightarrow 2 F e(s)+3 C O_2(g) $
$\Delta H=-26.8\, kJ$
(II) $ F e O(s)+C O(g) \rightarrow F e(s)+C O_2(g)$
$\Delta H=-16.5 \,kJ $
On multiplying Eq (II) with $ 2 $, we get
(III) $ 2 F e O(s)+2 C O(g) \rightarrow 2 F e(s)+2 C O_2(g)$
$\Delta H=-33\, kJ$
On subtracting Eq (III) from I, we get
$ Fe _2 O _3(s)+C O(g) \rightarrow 2 F e O(s)+C O_2(g) $
$\Delta H=-26.8-(-33)$
$=+6.2 \,kJ$