Mole Concept and Some Basic Concepts of ChemistrymediumSUBJECTIVE

A sample of hard water contains of per liter. What is the hardness of the water in ppm (as equivalenMole Concept and Some Basic Concepts of Chemistry Chemistry Question

Question

A sample of hard water contains $204 \text{ mg}$ of $CaSO_4$ per liter. What is the hardness of the water in ppm (as $CaCO_3$ equivalents)?

Answer: $150 \TEXT{ PPM}$

💡 Solution & Explanation

$\text{moles } CaSO_4 = 204/136 = 1.5 \times 10^{-3} \text{ mol}$. <br>$1 \text{ mol } CaSO_4 \equiv 1 \text{ mol } CaCO_3$. <br>$\text{Mass } CaCO_3 \text{ eq} = 1.5 \times 10^{-3} \times 100 = 0.15 \text{ g} = 150 \text{ mg}$. <br>$\text{Hardness} = 150 \text{ mg/L} = 150 \text{ ppm}$.

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