Calculate standard entropy change in the reaction Fe2 O3(s)+3 H2(g) ⟶2 Fe(s)+3 H2 O(l) Given : S

step 1 Hello students in this question we have to calculate the standard entropy change that is delta s

Calculate standard entropy change in the reaction Fe2...

Calculate standard entropy change in the reaction $$ \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{Fe}(s)+3 \mathrm{H}_{2} \mathrm{O}(l) $$ Given : $S_{m}^{\circ}\left(\mathrm{Fe}_{2} \mathrm{O}_{3}, \mathrm{~S}\right)=87.4, S_{m}^{\circ}(\mathrm{Fe}, S)=27.3$ $S_{m}^{\circ}\left(\mathrm{H}_{2}, g\right)=130.7, S_{m}^{\circ}\left(\mathrm{H}_{2} \mathrm{O}, l\right)=69.9 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$

Calculate standard entropy change in the reaction
$$
\mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{Fe}(s)+3 \mathrm{H}_{2} \mathrm{O}(l)
$$
Given : $S_{m}^{\circ}\left(\mathrm{Fe}_{2} \mathrm{O}_{3}, \mathrm{~S}\right)=87.4, S_{m}^{\circ}(\mathrm{Fe}, S)=27.3$
$S_{m}^{\circ}\left(\mathrm{H}_{2}, g\right)=130.7, S_{m}^{\circ}\left(\mathrm{H}_{2} \mathrm{O}, l\right)=69.9 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$

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Key Concepts

Entropy Change of Reaction

The entropy change of a reaction is determined by the difference between the sum of the standard molar entropies of the products and the sum of the standard molar entropies of the reactants, each multiplied by their stoichiometric coefficients from the balanced chemical equation. This calculation reveals whether the reaction results in an increase or decrease in the system's disorder.

Standard Molar Entropy

Standard molar entropy is the entropy content per mole of a substance under standard conditions. It is an intrinsic property of a substance and varies with the physical state (solid, liquid, gas), which affects its number of accessible microstates and overall disorder. These values are used as tabulated constants when calculating the entropy change of reactions.

Standard Entropy

Standard entropy is a thermodynamic property that quantifies the disorder or randomness of a substance at a specified standard state, usually 1 bar or 1 atm pressure for gases and pure substances in their most stable form at a given temperature (commonly 298 K). It provides a measure of the energy dispersal at a molecular level.

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