<u>Answer:</u> The moles of precipitate (lead (II) iodide) produced is
moles
<u>Explanation:</u>
To calculate the number of moles for given molarity, we use the equation:
.....(1)
- <u>For lead (II) nitrate:</u>
Molarity of lead (II) nitrate solution = 2.70 M
Volume of solution = 33.0 mL = 0.033 L (Conversion factor: 1 L = 1000 mL)
Putting values in equation 1, we get:
![2.70M=\frac{\text{Moles of lead (II) nitrate}}{0.033L}\\\\\text{Moles of lead (II) nitrate}=(2.70mol/L\times 0.0330L)=0.0891mol](https://tex.z-dn.net/?f=2.70M%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20lead%20%28II%29%20nitrate%7D%7D%7B0.033L%7D%5C%5C%5C%5C%5Ctext%7BMoles%20of%20lead%20%28II%29%20nitrate%7D%3D%282.70mol%2FL%5Ctimes%200.0330L%29%3D0.0891mol)
Molarity of NaI solution = 0.00157 M
Volume of solution = 20.0 mL = 0.020 L
Putting values in equation 1, we get:
![0.00157M=\frac{\text{Moles of NaI}}{0.020L}\\\\\text{Moles of NaI}=(0.00157mol/L\times 0.0200L)=3.14\times 10^{-5}mol](https://tex.z-dn.net/?f=0.00157M%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20NaI%7D%7D%7B0.020L%7D%5C%5C%5C%5C%5Ctext%7BMoles%20of%20NaI%7D%3D%280.00157mol%2FL%5Ctimes%200.0200L%29%3D3.14%5Ctimes%2010%5E%7B-5%7Dmol)
For the given chemical reaction:
![Pb(NO_3)_2(aq.)+2NaI(aq.)\rightarrow PbI_2(s)+2NaNO_3(aq.)](https://tex.z-dn.net/?f=Pb%28NO_3%29_2%28aq.%29%2B2NaI%28aq.%29%5Crightarrow%20PbI_2%28s%29%2B2NaNO_3%28aq.%29)
By Stoichiometry of the reaction:
2 moles of NaI reacts with 1 mole of lead (II) nitrate
So,
moles of NaI will react with =
of lead (II) nitrate
As, given amount of lead (II) nitrate is more than the required amount. So, it is considered as an excess reagent.
Thus, NaI is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
2 moles of NaI produces 1 mole of lead (II) iodide
So,
moles of NaI will produce =
of lead (II) iodide
Hence, the moles of precipitate (lead (II) iodide) produced is
moles