The balanced equation for the reaction of potassium iodide with lead (II) nitrate to form lead (II) iodide is:
![$$2KI + Pb(NO_3)_2 \rightarrow 2KNO_3 + PbI_2$$](https://img.qammunity.org/2021/formulas/chemistry/college/rrc7nj77fguhbla2fcsltdt0xvvyxk1raz.png)
To calculate the percent yield, we first need to calculate the theoretical yield. The molar mass of KI is approximately 166 g/mol and that of PbI2 is approximately 461 g/mol.
- The first ratio used is the stoichiometric ratio from the balanced equation, which is 2 moles of KI to 1 mole of PbI2.
- The second ratio is the conversion of grams of KI to moles using its molar mass. From 20 g of KI, we get approximately 0.12 moles of KI.
- The third ratio is the conversion of moles of PbI2 to grams using its molar mass. From 0.12 moles of PbI2, we get approximately 27.77 g of PbI2.
The percent yield is then calculated as the ratio of the actual yield (15 g) to the theoretical yield (27.77 g), multiplied by 100:
![$$\text{Percent Yield} = \left( \frac{15 \, \text{g}}{27.77 \, \text{g}} \right) * 100 = 54.02 \%$$](https://img.qammunity.org/2021/formulas/chemistry/college/vbiwh2ympsimv3w9a5abrfsytcy3kyimxm.png)
So, the percent yield of the experiment is approximately 54.02%.