Related Formula
Precipitation reaction stoichiometry:
NaI(aq) + AgNO₃(aq) AgI(s) + NaNO₃(aq)$$\text{NaI(aq)} + \text{AgNO}_3\text{(aq)} \longrightarrow \text{AgI(s)} + \text{NaNO}_3\text{(aq)}$$
Molarity calculation formula:
M = Moles of solute (NaI)Volume of solution in Liters (L)$$M = \frac{\text{Moles of solute (NaI)}}{\text{Volume of solution in Liters (L)}}$$
Execution
Step 1: Determine the molar mass of the Silver Iodide (AgI$\text{AgI}$) precipitate:
Molar Mass of AgI = 108 + 127 = 235 g mol⁻¹$$\text{Molar Mass of AgI} = 108 + 127 = 235 \text{ g mol}^{-1}$$
Step 2: Calculate the moles of AgI$\text{AgI}$ precipitated:
Moles of AgI = 4.74 g235 g mol⁻¹ ≈ 0.02017 mol$$\text{Moles of AgI} = \frac{4.74 \text{ g}}{235 \text{ g mol}^{-1}} \approx 0.02017 \text{ mol}$$
Step 3: Apply the 1:1 reaction stoichiometry to find the moles of NaI$\text{NaI}$:
Moles of NaI = Moles of AgI = 0.02017 mol$$\text{Moles of NaI} = \text{Moles of AgI} = 0.02017 \text{ mol}$$
Step 4: Compute the molarity of the solution, converting 20 mL$20 \text{ mL}$ to 0.020 L$0.020 \text{ L}$:
Molarity [NaI] = 0.02017 mol0.020 L = 1.0085 M$$\text{Molarity [NaI]} = \frac{0.02017 \text{ mol}}{0.020 \text{ L}} = 1.0085 \text{ M}$$
Rounding to the nearest integer value gives 1.
Pattern Recognition
Precipitation reactions involving silver halides follow a strict 1:1 mole ratio between the halide source and the silver precipitate. Converting mass into moles and dividing by the volume in liters quickly yields the molarity.
Chapter Mix
Class 11 Chemistry: Some Basic Concepts of Chemistry