A solution is saturated with both AgCl (K_sp = 1.8 x 10^-10) and AgBr (K_sp = 5.0 x 10^-13). The equilibrium [Ag^+] (in mol L^-1, to two significant figures) is

JEE Advanced levelSingle correct optionDifficulty 3 of 3ie204

A solution is saturated with both $AgCl$ ( $K_{s p} = 1.8 \times 1 0^{- 10}$ ) and $AgBr$ ( $K_{s p} = 5.0 \times 1 0^{- 13}$ ). The equilibrium $[Ag X^{+}]$ (in $mol L^{- 1}$ , to two significant figures) is

Both salts share

Ag X^{+}

. Charge balance gives

[Ag X^{+}] = [Cl X^{-}] + [Br X^{-}]

, so

[Ag X^{+}]^{2} = K_{1} + K_{2} = 1.80 \times 1 0^{- 10}

, and

[Ag X^{+}] = 1.3 \times 1 0^{- 5} M