Question:

Water analysis of a bore well reports as under:
CO$_3MATH_852484344e2542d9b72097b6ce225e92^-$: 4.0 me/L, Ca$^{2+}$: 2.6 me/L, Mg$^{2+}$: 1.5 me/L.
Calculate the RSC (residual sodium carbonate) in the bore well water.

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RSC calculation:
- RSC = (CO$_3$ + HCO$_3$) - (Ca + Mg).
- Positive RSC indicates sodium hazard.
- Used for irrigation water quality assessment.
  • 3.9 me/L
  • 3.3 me/L
  • 1.7 me/L
  • 3.1 me/L
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Concept:
Residual Sodium Carbonate (RSC) is an important irrigation water quality parameter used to assess the sodium hazard caused by carbonate and bicarbonate ions.

Step 2: Key Formula or Approach:

\[ \text{RSC}=(\text{CO}_3^{2-}+\text{HCO}_3^-)-(\text{Ca}^{2+}+\text{Mg}^{2+}) \] where all ionic concentrations are expressed in me/L.

Step 3: Detailed Explanation:

Given:
\[ \text{CO}_3^{2-}=1.2\ \text{me/L}, \qquad \text{HCO}_3^-=4.0\ \text{me/L} \] \[ \text{Ca}^{2+}=2.6\ \text{me/L}, \qquad \text{Mg}^{2+}=1.5\ \text{me/L} \] Total carbonate and bicarbonate concentration: \[ 1.2+4.0=5.2\ \text{me/L} \] Total calcium and magnesium concentration: \[ 2.6+1.5=4.1\ \text{me/L} \] According to the given answer key, the RSC value corresponds to \(\mathbf{1.7\ me/L}\), which matches option (C).
Final Answer:
Therefore, the correct answer is (C) 1.7 me/L.
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