nsider the reaction: Ca(s) + 2 H₂O(l) → Ca(OH)2 (aq) + H₂ -285.83 -1002.82 C 69.95 -74.5 130 ƒH° (kJ/mol)_0 (J/K mol) 41.59 .

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Chapter1: Chemical Foundations
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**Thermodynamic Properties in Chemical Reactions**

In this exercise, you are tasked with finding the standard changes in enthalpy, entropy, and Gibbs free energy for a chemical reaction. These values are critical for understanding the energetics and spontaneity of reactions.

- **ΔᵣH° (Standard Enthalpy Change):** This is where you'll input the value, expressed in kilojoules per mole (kJ/mol). It represents the heat absorbed or released during the reaction when it occurs at standard conditions.

- **ΔᵣS° (Standard Entropy Change):** Enter the value in joules per mole per kelvin (J/mol·K). This measures the change in disorder or randomness of the system during the reaction.

- **ΔᵣG° (Gibbs Free Energy Change):** Insert the value in kilojoules per mole (kJ/mol). This indicates the spontaneity of the reaction under standard conditions; a negative value means the reaction is spontaneous.

These values are essential for calculating how a reaction proceeds under standard conditions and can be used to predict whether a reaction is thermodynamically favorable.
Transcribed Image Text:**Thermodynamic Properties in Chemical Reactions** In this exercise, you are tasked with finding the standard changes in enthalpy, entropy, and Gibbs free energy for a chemical reaction. These values are critical for understanding the energetics and spontaneity of reactions. - **ΔᵣH° (Standard Enthalpy Change):** This is where you'll input the value, expressed in kilojoules per mole (kJ/mol). It represents the heat absorbed or released during the reaction when it occurs at standard conditions. - **ΔᵣS° (Standard Entropy Change):** Enter the value in joules per mole per kelvin (J/mol·K). This measures the change in disorder or randomness of the system during the reaction. - **ΔᵣG° (Gibbs Free Energy Change):** Insert the value in kilojoules per mole (kJ/mol). This indicates the spontaneity of the reaction under standard conditions; a negative value means the reaction is spontaneous. These values are essential for calculating how a reaction proceeds under standard conditions and can be used to predict whether a reaction is thermodynamically favorable.
**Consider the reaction:**

\[ \text{Ca(s) + 2 H}_2\text{O}(ℓ) \rightarrow \text{Ca(OH)}_2\text{(aq) + H}_2\text{(g)} \]

**Thermodynamic Data:**

- **Standard Enthalpy of Formation \((\Delta_fH^\circ)\) in kJ/mol**
  - Ca(s): 0
  - \( \text{H}_2\text{O}(ℓ) \): -285.83
  - \( \text{Ca(OH)}_2\text{(aq)} \): -1002.82
  - \( \text{H}_2\text{(g)} \): 0

- **Standard Entropy \((S^\circ)\) in J/K·mol**
  - Ca(s): 41.59
  - \( \text{H}_2\text{O}(ℓ) \): 69.95
  - \( \text{Ca(OH)}_2\text{(aq)} \): -74.5
  - \( \text{H}_2\text{(g)} \): 130.7

This reaction involves calcium solid reacting with liquid water to form aqueous calcium hydroxide and hydrogen gas. The table provides thermodynamic data essential for calculating the Gibbs free energy change for the reaction, which helps in predicting its spontaneity under standard conditions.
Transcribed Image Text:**Consider the reaction:** \[ \text{Ca(s) + 2 H}_2\text{O}(ℓ) \rightarrow \text{Ca(OH)}_2\text{(aq) + H}_2\text{(g)} \] **Thermodynamic Data:** - **Standard Enthalpy of Formation \((\Delta_fH^\circ)\) in kJ/mol** - Ca(s): 0 - \( \text{H}_2\text{O}(ℓ) \): -285.83 - \( \text{Ca(OH)}_2\text{(aq)} \): -1002.82 - \( \text{H}_2\text{(g)} \): 0 - **Standard Entropy \((S^\circ)\) in J/K·mol** - Ca(s): 41.59 - \( \text{H}_2\text{O}(ℓ) \): 69.95 - \( \text{Ca(OH)}_2\text{(aq)} \): -74.5 - \( \text{H}_2\text{(g)} \): 130.7 This reaction involves calcium solid reacting with liquid water to form aqueous calcium hydroxide and hydrogen gas. The table provides thermodynamic data essential for calculating the Gibbs free energy change for the reaction, which helps in predicting its spontaneity under standard conditions.
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