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100 ml of a water sample contains 0.81 gm of calcium bicarbonate and 0.73 gm of magnesium bicarbonate. the hardness of this water sample expressed in terms of equivalents of CaCO3​ is:
(molar mass of calcium bicarbonate is 162g mol−1 and magnesium bicarbonate is 146gmol−1)

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\begin{array}{l} n_{e q} \cdot C a C O_{3}=n_{e q}. C a\left(H C O_{3}\right)_{2}+ n_{e q}. M g\left(H C O_{3}\right)_{2} \end{array}

\begin{array}{l} \text { or, } \ \ \frac{W}{100} \times 2=\frac{0.81}{162} \times 2+\frac{0.73}{146} \times 2 \\\\ \ \ \therefore w=1.0 \\\\ \ \ \therefore \text { Hardness }=\frac{1.0}{100} \times 10^{6}=10000 p p m \end{array}

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