Playing with Solubility 2

Chemistry Level 2

At $$60^\circ\text{C}$$, a 150 g $$\ce{KNO3}$$ solution must add 22 g of $$\ce{KNO3}$$ crystal or evaporate 20 g of water to become a saturated solution. Given that the density of the saturated solution is $$1.7\text{ g mL}^{-1}$$. If the 150 g $$\ce{KNO3}$$ solution contains 68 g of $$\ce{KNO3}$$, what is the amount (in grams) of $$\ce{KNO3}$$ crystal that will separate out if I cool down the solution to $$20^\circ\text{C}$$?

The solubility of $$\ce{KNO3}$$ is $$30\text{ g}/100\text{ g}$$ water at $$20^\circ\text{C}$$.

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