Respuesta :
Answer:
For A: The volume of solution is 0.02 L
For B: The volume of concentrated [tex]K_2Cr_2O_7[/tex] solution is 5 mL
For C: The molarity of diluted NaOH is 0.4 M
Explanation:
- For A:
To calculate the volume for given molarity, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]
Molarity of lead (II) nitrate solution = 2.50 M
Moles of lead ions = 0.0500 mol
Putting values in above equation, we get:
[tex]2.50M=\frac{0.0500mol}{\text{Volume of solution}}\\\\\text{Volume of solution}=\frac{0.0500mol}{2.50mol/L}=0.02L[/tex]
Hence, the volume of solution is 0.02 L
- For B:
To calculate the molarity of the diluted solution, we use the equation:
[tex]M_1V_1=M_2V_2[/tex] ......(1)
where,
[tex]M_1\text{ and }V_1[/tex] are the molarity and volume of the concentrated solution
[tex]M_2\text{ and }V_2[/tex] are the molarity and volume of diluted solution
We are given:
[tex]M_1=5.0M\\V_1=?mL\\M_2=0.01M\\V_2=250mL[/tex]
Putting values in equation 1, we get:
[tex]5.0\times V_1=0.10\times 250\\\\V_1=5mL[/tex]
Hence, the volume of concentrated [tex]K_2Cr_2O_7[/tex] solution is 5 mL
- For C:
We are given:
[tex]M_1=10.0M\\V_1=10.0mL\\M_2=?M\\V_2=250mL[/tex]
Putting values in equation 1, we get:
[tex]10.0\times 10.0=M_2\times 250\\\\M_2=0.4M[/tex]
Hence, the molarity of diluted NaOH is 0.4 M