Chapter 20: Q20.32 P (page 917)

For the reaction $H_{2} O (g) + C l_{2} O (g) \to 2 HClO (g)$ , you know ${ΔS}_{rxn}^{o}$ and role="math" localid="1663351267020" $S^{o}$ of HClO(g) and of $H_{2} O$ (g). Write an expression that can be used to determine $S^{o}$ of ${Cl}_{2} O$ (g).

Short Answer

Expert verified

The expression which will be determined is: ${S^{o}}_{{Cl}_{2} O (g)} = 2 \times {S^{o}}_{HClO (g)} - S_{H_{2} O (g)} - {ΔS}_{rxn}$ .

Step by step solution

Entropy of a reaction.

The standard entropy of a reaction is the difference in the total standard entropy of the products and the total standard entropy of the reactants.

Explanation.

It is well understood that entropy is a state function (so it does not depend on the path, only on the beginning and end). As a result, the change in entropy may be estimated as follows:

${ΔS}_{rxn} = \sum S_{products} + \sum S_{reactants}$

For the hypochlorous acid (HClO) production process as:

$\begin{matrix} H_{2} O (g) + C l_{2} O (g) \to 2 HClO (g) \\ Δ {S^{o}}_{rxn} = 2 {S^{o}}_{HClO (g)} - ({S^{o}}_{H_{2} O (g)} + {S^{o}}_{{Cl}_{2} O (g)}) \end{matrix}$

As a result, the $S_{{Cl}_{2} O (g)}$ may be written as:

${S^{o}}_{{Cl}_{2} O (g)} = 2 {S^{o}}_{HClO (g)} - {S^{o}}_{H_{2} O (g)} - Δ {S^{o}}_{rxn}$

Therefore, the expression is: ${S^{o}}_{{Cl}_{2} O (g)} = 2 {S^{o}}_{HClO (g)} - {S^{o}}_{H_{2} O (g)} - Δ {S^{o}}_{rxn}$ .

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For the reaction $H_{2} O (g) + C l_{2} O (g) \to 2 HClO (g)$ , you know ${ΔS}_{rxn}^{o}$ and role="math" localid="1663351267020" $S^{o}$ of HClO(g) and of $H_{2} O$ (g). Write an expression that can be used to determine $S^{o}$ of ${Cl}_{2} O$ (g).

Short Answer

Step by step solution

Entropy of a reaction.

Explanation.

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For the reaction H2O(g)+Cl2O(g)→2HClO(g), you know ΔSrxnoand role="math" localid="1663351267020" Soof HClO(g) and of H2O(g). Write an expression that can be used to determineSoofCl2O(g).

Short Answer

Step by step solution

Entropy of a reaction.

Explanation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemistry Branches

Chemical Analysis

Kinetics

Organic Chemistry

The Earths Atmosphere

Making Measurements

Study anywhere. Anytime. Across all devices.

For the reaction $H_{2} O (g) + C l_{2} O (g) \to 2 HClO (g)$ , you know ${ΔS}_{rxn}^{o}$ and role="math" localid="1663351267020" $S^{o}$ of HClO(g) and of $H_{2} O$ (g). Write an expression that can be used to determine $S^{o}$ of ${Cl}_{2} O$ (g).