A student stated that the solubility of KCL, at 20 degrees Celsius was 36 grams of KCL per 100 grams of solution. What is wrong with this statement?

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I think maybe you better look up the solubility which is normally in grams or mols per liter but 36 grams in 100 grams is much higher than believable by any stretch of the imagination. A liter of fresh water is about a 1000 grams.