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Question

A sample of water has a hardness expressed as 80 ppm of Ca2+. This sample is passed through an ion exchange column and the Ca2+ is replaced by H+. What is the pH of the water after it has been so treated?
[Atomic mass of Ca=40]

A
3
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B
2.7
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C
5.4
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D
2.4
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Solution

The correct option is D 2.4
The concentration of calcium ions is 80 ppm. This means that 80 g of calcium ions are present in 106 ml of water.
This corresponds to Ca2+=8040moles=2 moles of Ca2+=2×2.
This also corresponds to =2×2 moles of H+ ions.
1 L (or 1000 ml) of water will contain 4×103 moles of H+ ions.
Hence, pH=log[H+]=log(4×103)=3log4=30.6=2.4.

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