www (pH=7). What is the total hardness (TH) of water that contains the following ion concentrations Species Nat Ca2+ Mg2 HCO3* CF A/3+ Molecular weight (g/mol) 23 40 24 61 35.5 27 a. 4.5 meq/L b. 625 mg/L as CaCO3 c. 225 mg/L as CaCO3 d. 7.8 meq/L e. 5.4 meq/L Concentration (mg/L) 56 40 30 190 165 30

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**Determining Total Hardness (TH) of Water Using Ion Concentrations**

**Problem Statement:**
What is the total hardness (TH) of water that contains the following ion concentrations (pH = 7)?

**Ion Concentrations Table:**

| Species | Molecular weight (g/mol) | Concentration (mg/L) |
|---------|--------------------------|----------------------|
| Na⁺     | 23                       | 56                   |
| Ca²⁺    | 40                       | 40                   |
| Mg²⁺    | 24                       | 30                   |
| HCO₃⁻   | 61                       | 190                  |
| Cl⁻     | 35.5                     | 165                  |
| Al³⁺    | 27                       | 30                   |

**Multiple Choice Options for Total Hardness (TH):**

a. 4.5 meq/L  
b. 625 mg/L as CaCO₃  
c. 225 mg/L as CaCO₃  
d. 7.8 meq/L  
e. 5.4 meq/L  

**Explanation:** 

To calculate the total hardness, consider the contribution of calcium (Ca²⁺) and magnesium (Mg²⁺), as these ions are primarily responsible for water hardness. Calculate their equivalent hardness in terms of milliequivalents per liter (meq/L) and then convert to mg/L as calcium carbonate (CaCO₃) if necessary.

**Note:** The provided options involve different units and expressions for total hardness, which should align with standard calculations and conversions in water chemistry.
Transcribed Image Text:**Determining Total Hardness (TH) of Water Using Ion Concentrations** **Problem Statement:** What is the total hardness (TH) of water that contains the following ion concentrations (pH = 7)? **Ion Concentrations Table:** | Species | Molecular weight (g/mol) | Concentration (mg/L) | |---------|--------------------------|----------------------| | Na⁺ | 23 | 56 | | Ca²⁺ | 40 | 40 | | Mg²⁺ | 24 | 30 | | HCO₃⁻ | 61 | 190 | | Cl⁻ | 35.5 | 165 | | Al³⁺ | 27 | 30 | **Multiple Choice Options for Total Hardness (TH):** a. 4.5 meq/L b. 625 mg/L as CaCO₃ c. 225 mg/L as CaCO₃ d. 7.8 meq/L e. 5.4 meq/L **Explanation:** To calculate the total hardness, consider the contribution of calcium (Ca²⁺) and magnesium (Mg²⁺), as these ions are primarily responsible for water hardness. Calculate their equivalent hardness in terms of milliequivalents per liter (meq/L) and then convert to mg/L as calcium carbonate (CaCO₃) if necessary. **Note:** The provided options involve different units and expressions for total hardness, which should align with standard calculations and conversions in water chemistry.
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