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A 2.0 L kettle contains 116 g of boiler scale $(C a C O_{3})$ . How many times would the kettle have to be completely filled with distilled water to remove all of the deposit at $25 ° C$ ? $K_{s p}$ of $C a C O_{3}$ at $25 ° C$ = $8.1 \times 10^{- 9}$ .
[Atomic masses: C = 12, O = 16, Ca = 40]

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answer is 6443.

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Detailed Solution

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$K_{s p} = S^{2} = 8.1 \times 10^{- 9} \Rightarrow S = 9 \times 10^{- 5} m o l L^{- 1}$
$\Rightarrow 2 L$ water can remove $2 \times 9 \times 10^{- 5} \times 100 g = 18 \times 10^{- 3} {of CaCO}_{3}$
$∴$ no of fillings required to remove $116 g = \frac{1}{18 \times 10^{- 3}} \times 116 = 6444$

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A 2.0 L kettle contains 116 g of boiler scale (CaCO3) . How many times would the kettle have to be completely filled with distilled water to remove all of the deposit at 25°C ? Ksp of CaCO3 at 25°C = 8.1×10−9. [Atomic masses: C = 12, O = 16, Ca = 40]