Answer:
![m_(PbI_2)=36.2gPbI_2](https://img.qammunity.org/2021/formulas/chemistry/college/fp766nf76pi9uyjyuzg0gvumtcuj7gnuni.png)
Step-by-step explanation:
Hello!
In this case, since the chemical reaction that takes place when Pb(NO3)2 and NaI are mixed is:
![Pb(NO_3)_2(aq)+2NaI(aq)\rightarrow PbI_2(s)+2NaNO_3(aq)](https://img.qammunity.org/2021/formulas/chemistry/college/yyyk1xngyo5vha8617knntk5xlp7uja11c.png)
By which a solid precipitate of PbI2 is produced. In such a way, since we know the volume and molarity of NaI, we can compute the moles of NaI as shown below:
![n_(NaI)=0.765L*0.205(molNaI)/(L)=0.157molNaI](https://img.qammunity.org/2021/formulas/chemistry/college/cyw7u1jgtbrl3vk0g8dou2kcv1f3udo6vt.png)
Next, since it is in a 2:1 mole ratio with PbI2 (molar mass = 461.01 g/mol) we compute the mass of PbI2 precipitate as shown below:
![m_(PbI_2)=0.157molNaI*(1molPbI_2)/(2molNaI)*(461.01 gPbI_2)/(1molPbI_2) \\\\m_(PbI_2)=36.2gPbI_2](https://img.qammunity.org/2021/formulas/chemistry/college/suis826bjijhm5bs069vibqqd65hrzubjv.png)
Best regards!