Answer:
For A: The volume of solution is 0.02 L
For B: The volume of concentrated
solution is 5 mL
For C: The molarity of diluted NaOH is 0.4 M
Step-by-step explanation:
To calculate the volume for given molarity, we use the equation:
![\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}](https://img.qammunity.org/2020/formulas/chemistry/high-school/zir2p95jfu0c9nqbmfni6xkgab3q30b5je.png)
Molarity of lead (II) nitrate solution = 2.50 M
Moles of lead ions = 0.0500 mol
Putting values in above equation, we get:
![2.50M=\frac{0.0500mol}{\text{Volume of solution}}\\\\\text{Volume of solution}=(0.0500mol)/(2.50mol/L)=0.02L](https://img.qammunity.org/2020/formulas/chemistry/high-school/3qzycqeganpcvfnp0nd9ohcdgkti0hwve3.png)
Hence, the volume of solution is 0.02 L
To calculate the molarity of the diluted solution, we use the equation:
......(1)
where,
are the molarity and volume of the concentrated solution
are the molarity and volume of diluted solution
We are given:
![M_1=5.0M\\V_1=?mL\\M_2=0.01M\\V_2=250mL](https://img.qammunity.org/2020/formulas/chemistry/high-school/f1g7dhtdrhhczskyn5ar9syzlmzgxxmboa.png)
Putting values in equation 1, we get:
![5.0* V_1=0.10* 250\\\\V_1=5mL](https://img.qammunity.org/2020/formulas/chemistry/high-school/qowrpe44fg4ot6w9few44cnwizbwe8gio2.png)
Hence, the volume of concentrated
solution is 5 mL
We are given:
![M_1=10.0M\\V_1=10.0mL\\M_2=?M\\V_2=250mL](https://img.qammunity.org/2020/formulas/chemistry/high-school/ytkwqxx7cnms45ra4j9k3kc2dv57sfkuz8.png)
Putting values in equation 1, we get:
![10.0* 10.0=M_2* 250\\\\M_2=0.4M](https://img.qammunity.org/2020/formulas/chemistry/high-school/gvov9d3suqtxcsvp7xpbxnrbvspratzsyw.png)
Hence, the molarity of diluted NaOH is 0.4 M