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Hardness of Water:Causes, Types and Treatments

Hardness in w...

Question

Hardness in water is expressed in terms of ppm of $C a C O_{3}$ . If hardness is $200$ ppm $C a C O_{3}$ , then in terms of molarity, it is:

0.004 M

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0.002 M

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0.001 M

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0.0005 M

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Solution

The correct option is B $0.002 M$
$10^{6}$ mL of water contains $200$ g calcium carbonate.
$10^{3}$ mL of water contains $0.200$ g calcium carbonate.
This corresponds to $\frac{0.200}{100} = 0.002$ mol calcium carbonate.
Hence, the concentration of calcium carbonate is $0.002 M$ .

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