Hardness of water is 200 ppm. The normality and molarity of `CaCO_3` in the water is
(a). `2xx10^(-6)(N,2xx10^(-6)M`
(b). `4xx10^(-2)N,2xx10^(-2)M`
(c). `4xx10^(-3)N,2xx10^(-3)M`
(d). `4xx10^(-1)N,2xx10^(-1)M`

Explanation

To solve the problem of determining the normality and molarity of \( \text{CaCO}_3 \) in water with a hardness of 200 ppm, we can follow these steps:

### Step 1: Understand the definition of ppm
PPM (parts per million) indicates the mass of solute (in grams) per million grams of solution (in this case, water). Therefore, 200 ppm means there are 200 grams of \( \text{CaCO}_3 \) in 1,000,000 grams of water.

### Step 2: Calculate the number of moles of \( \text{CaCO}_3 \)
To find the number of moles, we use the formula:
\[
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