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Question: The standard entropies of \(CO_{2}(g),C(s)\) and \(O_{2}(g)\) are 213.5, 5.690 and 205 JK<sup>–1</su...

The standard entropies of CO2(g),C(s)CO_{2}(g),C(s) and O2(g)O_{2}(g) are 213.5, 5.690 and 205 JK–1 respectively. The standard entropy of formation of CO2CO_{2} (g) is

A

1.86 JK–1

B

1.96 JK–1

C

2.81 JK–1

D

2.86 JK–1

Answer

2.81 JK–1

Explanation

Solution

Formation of CO2CO_{2} is, C(s)+O2(g)→CO2(g)\mathbf{C(s) +}\mathbf{O}_{\mathbf{2}}\mathbf{(g)}\mathbf{\rightarrow}\mathbf{C}\mathbf{O}_{\mathbf{2}}\mathbf{(g)}

ΔS0=\mathbf{\Delta}\mathbf{S}^{\mathbf{0}}\mathbf{=} ΔS0(product)−ΔS0(reactants)=213.5−[5.690+205]\mathbf{\Delta}{\mathbf{S}^{\mathbf{0}}}_{\mathbf{(}\text{product}\mathbf{)}}\mathbf{- \Delta}{\mathbf{S}^{\mathbf{0}}}_{\mathbf{(}\text{reactants}\mathbf{)}} = 213.5 - \lbrack 5.690 + 205\rbrack =2.81JK−1= 2.81JK^{- 1}