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Why detergents become more effective in hard water than soaps?

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Due to surface tension
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In this manner, clothes become free from dirt or dust. ... On the basis of effective washing with soap, water has been classified as soft water and hard water. ... Detergents are more soluble than soaps and hence form more lather than soaps.
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Math Magician

due to surface tension.
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The legend in education behind every high achiever

Since detergents have long chain benzene sulphonic acid they form lather easily even with hard water and the cleaning will be good than soap.
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Trainer

The cleaning action of soap is very effective in soft water because it contains negligible calcium and magnesium ions. Synthetic detergents are used in the case of hard water also because the calcium and magnesium salts of detergents are soluble in water.
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hard water contains magnesium and calcium ions and for this detergent is more soluble in hard water than in soft water.thats why detergent is more effective in hard water. point to be noted that soft water contains a small /negligible amount of calcium and magnesium ion
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