Units of hardness:\r One degree of hardness (Clark's degree) corresponds approximately to what concentration of CaCO3 equivalent in mg/L?
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A10.25 mg/L as CaCO3
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B12.25 mg/L as CaCO3
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C14.25 mg/L as CaCO3
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D16.25 mg/L as CaCO3
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E20.00 mg/L as CaCO3
Answer
Correct Answer: 14.25 mg/L as CaCO3
Explanation
Introduction / Context:Hardness is often expressed in different traditional units. Converting among these is essential for comparing standards, plant data, and research reports. Clark's degree (°Clark) is an older British unit still encountered in practice.
Given Data / Assumptions:
- We are asked for the CaCO3 equivalent concentration corresponding to 1 °Clark.
- Standard conversion: 1 °Clark ≈ 1 grain per Imperial gallon of CaCO3 equivalent.
Concept / Approach:Using known conversions, 1 grain per Imperial gallon equals approximately 14.25 mg/L as CaCO3. This value is widely cited and used to translate historical data into SI-based concentrations.
Step-by-Step Solution:Recall: 1 °Clark = 1 grain per Imp. gallon as CaCO3.Convert to mg/L: ≈ 14.25 mg/L as CaCO3.Therefore, select 14.25 mg/L as the correct equivalence.
Verification / Alternative check:Contrast with other units: 1 °German (°dH) ≈ 17.8 mg/L as CaCO3, and 1 °French (°f) = 10 mg/L as CaCO3. The stated 14.25 mg/L aligns with °Clark, distinguishing it from these other scales.
Why Other Options Are Wrong:
- 10.25 and 12.25 mg/L: Too low; closer to the French degree is 10 mg/L.
- 16.25 and 20.00 mg/L: Too high, and 17.8 mg/L corresponds to German degrees, not Clark.
Common Pitfalls:
- Mixing up German, French, and Clark scales.
- Reporting hardness without specifying the unit basis (as CaCO3).
Final Answer:14.25 mg/L as CaCO3