---
title: "A student prepares a mixture by adding \\(50.0 \\text{ mL}\\) of \\(4.0 \\times 10^{-4} \\text{ M } \\text{AgNO}_3\\text{(aq)}\\) to \\(150.0 \\text{ mL}\\) of a \\(\\text{NaCl(aq)}\\) solution of unknown concentration at \\(25^\\circ\\text{C}\\). Given that \\(K_{sp}\\) for \\(\\text{AgCl}\\) is \\(1.8 \\times 10^{-10}\\) at \\(25^\\circ\\text{C}\\) and assuming volumes are additive, what is the maximum initial molar concentration of the \\(\\text{NaCl(aq)}\\) solution that can be used without forming a precipitate of \\(\\text{AgCl(s)}\\)?"
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url: "https://nerd-notes.com/ubq/120289/"
date_modified: "2026-08-23T04:04:18+00:00"
---

# A student prepares a mixture by adding \(50.0 \text{ mL}\) of \(4.0 \times 10^{-4} \text{ M } \text{AgNO}_3\text{(aq)}\) to \(150.0 \text{ mL}\) of a \(\text{NaCl(aq)}\) solution of unknown concentration at \(25^\circ\text{C}\). Given that \(K_{sp}\) for \(\text{AgCl}\) is \(1.8 \times 10^{-10}\) at \(25^\circ\text{C}\) and assuming volumes are additive, what is the maximum initial molar concentration of the \(\text{NaCl(aq)}\) solution that can be used without forming a precipitate of \(\text{AgCl(s)}\)?

A student prepares a mixture by adding \(50.0 \text{ mL}\) of \(4.0 \times 10^{-4} \text{ M } \text{AgNO}_3\text{(aq)}\) to \(150.0 \text{ mL}\) of a \(\text{NaCl(aq)}\) solution of unknown concentration at \(25^\circ\text{C}\). Given that \(K_{sp}\) for \(\text{AgCl}\) is \(1.8 \times 10^{-10}\) at \(25^\circ\text{C}\) and assuming volumes are additive, what is the maximum initial molar concentration of the \(\text{NaCl(aq)}\) solution that can be used without forming a precipitate of \(\text{AgCl(s)}\)?

- **A.** \(4.5 \times 10^{-7} \text{ M}\)
- **B.** \(6.0 \times 10^{-7} \text{ M}\)
- **C.** \(1.8 \times 10^{-6} \text{ M}\)
- **D.** \(2.4 \times 10^{-6} \text{ M}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120289/*