Determine the pH of a 0.10 M solution of HNC,H4SO3 (pKa = 2.32). 1 2 3 NEXT > Based on the given values, set up ICE table in order to determine the unknown. HNC,H,SO3(aq)+ H20(1) H;O*(aq) +NC;H4SO;¯(aq) Initial (M) Change (M) Equilibrium (M) 5 RESET 0.10 2.32 0.20 +x +2x -2х 0.10 + x 0.10 - x 0.10 + 2x 0.10 - 2x 0.20 + x 0.20 - x 0.20 + 2x 0.20 - 2x

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**Determining the pH of a 0.10 M Solution of HNC\(_7\)H\(_4\)SO\(_3\) (pK\(_a\) = 2.32)**

**Step 1: Understanding the ICE Table**

The problem at hand is to determine the pH of a solution using its concentration and \( \text{pK}_a \). An ICE (Initial, Change, Equilibrium) table is used to find concentrations of species at equilibrium.

**Chemical Equation:**

HNC\(_7\)H\(_4\)SO\(_3\)(aq) + H\(_2\)O(l) ⇌ H\(_3\)O\(^+\)(aq) + NC\(_7\)H\(_4\)SO\(_3\)^-(aq)

**ICE Table Setup:**

- **Initial Concentrations (M):**
  - HNC\(_7\)H\(_4\)SO\(_3\): [ ]
  - H\(_2\)O: Typically, [ ] (Water is in large excess.)
  - H\(_3\)O\(^+\): [ ]
  - NC\(_7\)H\(_4\)SO\(_3\)^-: [ ]

- **Change in Concentrations (M):**
  - HNC\(_7\)H\(_4\)SO\(_3\): [ ]
  - H\(_3\)O\(^+\): [ ]
  - NC\(_7\)H\(_4\)SO\(_3\)^-: [ ]

- **Equilibrium Concentrations (M):**
  - HNC\(_7\)H\(_4\)SO\(_3\): [ ]
  - H\(_3\)O\(^+\): [ ]
  - NC\(_7\)H\(_4\)SO\(_3\)^-: [ ]

**Interactive Elements:**

Below the ICE table, there are clickable values for setting the changes in concentrations:

- Values include: -2x, -x, +x, +2x, 0.10 - x, 0.10 + x, 0.10 - 2x, 0.20 - 2x, etc.
- These help calculate equilibrium
Transcribed Image Text:**Determining the pH of a 0.10 M Solution of HNC\(_7\)H\(_4\)SO\(_3\) (pK\(_a\) = 2.32)** **Step 1: Understanding the ICE Table** The problem at hand is to determine the pH of a solution using its concentration and \( \text{pK}_a \). An ICE (Initial, Change, Equilibrium) table is used to find concentrations of species at equilibrium. **Chemical Equation:** HNC\(_7\)H\(_4\)SO\(_3\)(aq) + H\(_2\)O(l) ⇌ H\(_3\)O\(^+\)(aq) + NC\(_7\)H\(_4\)SO\(_3\)^-(aq) **ICE Table Setup:** - **Initial Concentrations (M):** - HNC\(_7\)H\(_4\)SO\(_3\): [ ] - H\(_2\)O: Typically, [ ] (Water is in large excess.) - H\(_3\)O\(^+\): [ ] - NC\(_7\)H\(_4\)SO\(_3\)^-: [ ] - **Change in Concentrations (M):** - HNC\(_7\)H\(_4\)SO\(_3\): [ ] - H\(_3\)O\(^+\): [ ] - NC\(_7\)H\(_4\)SO\(_3\)^-: [ ] - **Equilibrium Concentrations (M):** - HNC\(_7\)H\(_4\)SO\(_3\): [ ] - H\(_3\)O\(^+\): [ ] - NC\(_7\)H\(_4\)SO\(_3\)^-: [ ] **Interactive Elements:** Below the ICE table, there are clickable values for setting the changes in concentrations: - Values include: -2x, -x, +x, +2x, 0.10 - x, 0.10 + x, 0.10 - 2x, 0.20 - 2x, etc. - These help calculate equilibrium
**Determining the pH of a 0.10 M Solution of HNC₇H₄SO₃ (pKₐ = 2.32)**

To find the pH, follow these steps:

1. **Progress Indicator:** 
   - Step highlighted: 2 of 3.

2. **Instructions:**
   - Based on your ICE table and definition of Kₐ, set up the expression for Kₐ to determine the unknown. Do not combine or simplify terms.

3. **Expression for Kₐ:**
   - Kₐ is represented by two empty boxes, indicating where the expression terms should be input.

4. **Values Available for Use:**
   - Options given in square brackets: 
     - [0], [0.10], [2.32], [0.20], [x], [2x], 
     - [0.10 + x], [0.10 - x], [0.20 + x], [0.20 - x], 
     - [0.10 + 2x], [0.10 - 2x], [0.20 + 2x], [0.20 - 2x], 
     - 4.8 × 10⁻³, 2.1 × 10⁻¹², 2.32, 0.098.

5. **Action:**
   - A "RESET" button is available to clear the inputs and start over.

These steps guide you in setting up the calculation to determine the pH of the solution by forming the expression for the acid dissociation constant, Kₐ, using the given concentrations and changes (ICE table).
Transcribed Image Text:**Determining the pH of a 0.10 M Solution of HNC₇H₄SO₃ (pKₐ = 2.32)** To find the pH, follow these steps: 1. **Progress Indicator:** - Step highlighted: 2 of 3. 2. **Instructions:** - Based on your ICE table and definition of Kₐ, set up the expression for Kₐ to determine the unknown. Do not combine or simplify terms. 3. **Expression for Kₐ:** - Kₐ is represented by two empty boxes, indicating where the expression terms should be input. 4. **Values Available for Use:** - Options given in square brackets: - [0], [0.10], [2.32], [0.20], [x], [2x], - [0.10 + x], [0.10 - x], [0.20 + x], [0.20 - x], - [0.10 + 2x], [0.10 - 2x], [0.20 + 2x], [0.20 - 2x], - 4.8 × 10⁻³, 2.1 × 10⁻¹², 2.32, 0.098. 5. **Action:** - A "RESET" button is available to clear the inputs and start over. These steps guide you in setting up the calculation to determine the pH of the solution by forming the expression for the acid dissociation constant, Kₐ, using the given concentrations and changes (ICE table).
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