Step 1: Understanding the Concept:
Molarity represents the number of moles of solute in \(1\text{ L}\) of solution. To find the number of individual ions, we calculate the moles and then multiply by Avogadro's number. Step 3: Detailed Explanation:
Volume \(V = 100\text{ mL} = 0.1\text{ L}\).
Molarity \(M = 0.001\text{ M} = 10^{-3}\text{ mol/L}\).
Number of moles of \(NaCl\):
\[ n = \text{Molarity} \times \text{Volume (L)} \]
\[ n = 10^{-3} \times 0.1 = 10^{-4}\text{ moles} \]
Since \(NaCl\) dissociates as \(NaCl \to Na^{+} + Cl^{-}\), one mole of \(NaCl\) provides one mole of \(Cl^{-}\) ions.
Number of \(Cl^{-}\) ions \(= n \times N_{A}\):
\[ \text{Ions} = 10^{-4} \times (6.022 \times 10^{23}) = 6.022 \times 10^{19} \] Step 4: Final Answer:
The number of ions is \(6.022 \times 10^{19}\).