sblock Elements - Result Question 58

####9. The hardness of a water sample (in terms of equivalents of $CaCO _3$ ) containing is

(Molar mass of $CaSO _4=136 g mol^{-1}$ ) (2019 Main, 12 Jan I)

(a) $100 ppm$

(b) $10 ppm$

(c) $50 ppm$

(d) $90 ppm$

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Answer:

Correct Answer: 9. (d)

Solution:

  1. Hardness of water sample can be calculated in terms of ppm concentration of $CaCO _3$.

Given, molarity $=10^{-3} M$

i.e. $1000 mL$ of solution contains $10^{-3}$ mole of $CaCO _3$.

$\therefore$ Hardness of water $=$ ppm of $CaCO _3$

$$ \begin{aligned} & =\frac{10^{-3} \times 1000}{1000} \times 10^{6} \ & =100 ppm \end{aligned} $$



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