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\( 50 \mathrm{~mL} \) of a solution containing \( 10^{-3} \) mole of \( \mathrm{Ag}^{+} \)is mixed with \( 50 \mathrm{~mL} \) of a \( 0.1 \mathrm{M} \mathrm{HCl} \) solution. How much \( \mathrm{Ag}^{+} \)remains in solution? \( \left(K_{s p}\right. \) of \( \left.\mathrm{AgCl}=1.0 \times 10^{-10}\right) \)
(a) \( 2.5 \times 10^{-9} \)
(b) \( 2.5 \times 10^{-7} \)
(c) \( 2.5 \times 10^{-8} \)
(d) \( 2.5 \times 10^{-10} \)
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