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) is a way of expressing very dilute concentrations of substances. 200 ppm means 200 mg of solute (in this case, \( \text{CaCO}_3 \)) per liter of solution.

### Step 2: Convert ppm to grams per liter
Since 1 ppm is equivalent to 1 mg/L, we can convert 200 ppm to grams per liter:
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