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A sample of hard water is found to contain 50 mg of CaSO4 in 12 kg of the sample. Calculate the hardness of the sample in terms of ppm of CaSO4. - Chemistry (Theory)

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Question

A sample of hard water is found to contain 50 mg of CaSO4 in 12 kg of the sample. Calculate the hardness of the sample in terms of ppm of CaSO4.

Numerical
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Solution

Given: Mass of CaSO4 = 50 mg

Mass of water sample = 12 kg = 12,000 g

We are to find the hardness in ppm (parts per million) due to CaSO4.

ppm = `"Mass of solute (mg)"/"Mass of solution (g)" xx 10^6`

ppm = `50/12000 xx 10^6`

= 4.1667 × 103

= 4166.7 ppm

∴ The hardness of the sample is 4166.7 ppm.

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