Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Title: Calculating the Change in Entropy for a Chemical Reaction**

Present the problem as follows:

---

**Question: What is the change in entropy (in J·K⁻¹·mol⁻¹) of the system for the following reaction?**

\[2H_2(g) + 2F_2(g) \rightarrow 2H_2O(l) + F_2(g)\]

---

**Options:**

1. -352.4
2. -176.2
3. -790
4. -684
5. +122.0

---

### Explanation:

In this problem, we are given a chemical reaction and asked to determine the change in entropy (\(ΔS\)) of the system. Entropy is a measure of the disorder or randomness in a system, typically expressed in joules per kelvin per mole (J·K⁻¹·mol⁻¹).

When calculating entropy changes, it is important to consider the standard molar entropy values for each substance involved in the reaction at a given temperature (usually 298 K). Here is a step-by-step approach on how you could compute \(ΔS\) for the given reaction:

1. **Identify the reactants and products**:
   - Reactants: 2 moles of H₂ (g) and 2 moles of F₂ (g)
   - Products: 2 moles of H₂O (l) and 1 mole of F₂ (g)
   
2. **Use standard molar entropy (\(S°\)) values**:
   - Standard molar entropy values for each substance must be taken from a reference (e.g., H₂(g), F₂(g), H₂O(l)).
   
3. **Calculate the entropy change**:
   \[
   ΔS = \sum S°(\text{products}) - \sum S°(\text{reactants})
   \]

4. **Substitute the values**:
   \[
   ΔS = [2S°(H₂O(l)) + S°(F₂(g))] - [2S°(H₂(g)) + 2S°(F₂(g))]
   \]

5. **Solve for \(ΔS\)**:
   - Perform the algebra using the given entropy values to find the correct option from the list.

**Note:**
The actual numerical values for standard molar entropy
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Transcribed Image Text:**Title: Calculating the Change in Entropy for a Chemical Reaction** Present the problem as follows: --- **Question: What is the change in entropy (in J·K⁻¹·mol⁻¹) of the system for the following reaction?** \[2H_2(g) + 2F_2(g) \rightarrow 2H_2O(l) + F_2(g)\] --- **Options:** 1. -352.4 2. -176.2 3. -790 4. -684 5. +122.0 --- ### Explanation: In this problem, we are given a chemical reaction and asked to determine the change in entropy (\(ΔS\)) of the system. Entropy is a measure of the disorder or randomness in a system, typically expressed in joules per kelvin per mole (J·K⁻¹·mol⁻¹). When calculating entropy changes, it is important to consider the standard molar entropy values for each substance involved in the reaction at a given temperature (usually 298 K). Here is a step-by-step approach on how you could compute \(ΔS\) for the given reaction: 1. **Identify the reactants and products**: - Reactants: 2 moles of H₂ (g) and 2 moles of F₂ (g) - Products: 2 moles of H₂O (l) and 1 mole of F₂ (g) 2. **Use standard molar entropy (\(S°\)) values**: - Standard molar entropy values for each substance must be taken from a reference (e.g., H₂(g), F₂(g), H₂O(l)). 3. **Calculate the entropy change**: \[ ΔS = \sum S°(\text{products}) - \sum S°(\text{reactants}) \] 4. **Substitute the values**: \[ ΔS = [2S°(H₂O(l)) + S°(F₂(g))] - [2S°(H₂(g)) + 2S°(F₂(g))] \] 5. **Solve for \(ΔS\)**: - Perform the algebra using the given entropy values to find the correct option from the list. **Note:** The actual numerical values for standard molar entropy
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