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Solid Ba(NO3)2 is gradually dissolved in a 1.0 × 10^-4 M Na2CO3 solution. At which concentration of Bar^2+, precipitate of BaCO3 begins to form?

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Solid Ba(NO3)2 is gradually dissolved in a 1.0 × 10-4 M Na2CO3 solution. At which concentration of Bar2+, precipitate of BaCO3 begins to form? (Ksp for BaCO3 = 5.1 × 10-9)

(a) 5.1 × 10-5 M

(b) 7.1 × 10-8 M

(c) 4.1 × 10-5 M

(d) 8.1 × 10-7 M

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Correct answer: (a) 5.1 × 10-5 M

Explanation:

Given Na2CO3 = 1.0 × 10-4 M

∴ [CO32-] = 1.0 × 10-4 M

i.e s = 1.0 × 10-4 M

At equilibrium

[Ba2+][CO32-] = Ksp of BaCO3

[Ba2+] = \(\frac{K_{sp}}{[CO_3^{2-}]}\)

= \(\frac{5.1 \times 10^{-9}}{1.0 \times 10^{-4}}\)

= 5.1 × 10-5 M

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