The value of - f G 0 for Cr 2 O 3 is 540 kJ mol -1 and that of Al 2 O 3 is -827 kJ mol -1- Is the reduction of Cr 2 O 3 by Al is feasible reaction-A- The data is incomleteB- The reaction is feasibleC- The reaction is not feasibleD- The reaction may or may not be feasible

The correct option is B The reaction is feasible nbsp;The free energy of formation of alumina is more negative than Cr_2O_3 . According to thermodynamics if ...

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Standard XII

Chemistry

Electrochemical Cells, Galvanic Cells

The value of ...

Question

The value of $Δ_{f} G^{0}$ for $C r_{2} O_{3}$ is $540 {kJ mol}^{- 1}$ and that of $A l_{2} O_{3}$ is $- 827 {kJ mol}^{- 1}$ . Is the reduction of $C r_{2} O_{3}$ by $A l$ is feasible reaction?

The data is incomlete

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The reaction is feasible

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The reaction is not feasible

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The reaction may or may not be feasible

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Solution

The correct option is B The reaction is feasible
The free energy of formation of alumina is more negative than $C r_{2} O_{3}$ . According to thermodynamics if $Δ G^{0}$ , is more negative then reaction is more fealible.

Free energy of formation of $A l_{2} O_{3} = - 827 {kJ mol}^{- 1}$
$\frac{4}{3} A l + O_{2} \to \frac{2}{3} A l_{2} O_{3} Δ G_{f} = - 827 {kJ mol}^{- 1}$

Free energy of formation of $C r_{2} O_{3} = - 540 {kJ mol}^{- 1}$
So, $\frac{2}{3} C r_{2} O_{3} \to \frac{4}{3} C r + O_{2} Δ G_{f} = 540 {kJ mol}^{- 1}$

Hence the free energy of reaction between $A l$ and $C r_{2} O_{3}$
$2 A l + C r_{2} O_{3} \to A l_{2} O_{3} + 2 C r$
$Δ G^{0} = - 827 + 540 = - 287 kJ mol$
Hence the reaction is feasible.

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The value of ΔfG0 for Cr2O3 is 540 kJ mol−1 and that of Al2O3 is −827 kJ mol−1. Is the reduction of Cr2O3 by Al is feasible reaction?

The value of $Δ_{f} G^{0}$ for $C r_{2} O_{3}$ is $540 {kJ mol}^{- 1}$ and that of $A l_{2} O_{3}$ is $- 827 {kJ mol}^{- 1}$ . Is the reduction of $C r_{2} O_{3}$ by $A l$ is feasible reaction?