Suppose you start with a solution of red dye #40 that is 2.3 ✕ 10−5 M. If you do three successive volumetric dilutions pipetting 3.00 mL of solution and diluting with water in a 25.00 mL volumetric flask, what is the molarity of the final dilution?

Respuesta :

Answer: Therefore, the concentration of final solution is [tex]4.0\times 10^{-8}M[/tex]

Explanation:

According to the neutralization law,

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1[/tex] = molarity of stock solution = [tex]2.3\times 10^{-5}M[/tex]

[tex]V_1[/tex] = volume of stock solution = 3.00 ml

[tex]M_2[/tex] = molarity of diluted solution = ?

[tex]V_2[/tex] = volume of diluted solution = 25.00 ml

[tex]2.3\times 10^{-5}M\times 3.00=M_2\times 25.00[/tex]

[tex]M_2=0.28\times 10^{-5}M[/tex]

Therefore, the concentration of diluted solution is [tex]0.28\times 10^{-5}M[/tex]

2) On further dilution

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1[/tex] = molarity of stock solution = [tex]0.28\times 10^{-5}M[/tex]

[tex]V_1[/tex] = volume of stock solution = 3.00 ml

[tex]M_2[/tex] = molarity of diluted solution = ?

[tex]V_2[/tex] = volume of diluted solution = 25.00 ml

[tex]0.28\times 10^{-5}M\times 3.00=M_2\times 25.00[/tex]

[tex]M_2=0.034\times 10^{-5}M[/tex]

Therefore, the concentration of diluted solution is [tex]0.034\times 10^{-5}M[/tex]

3) On further dilution

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1[/tex] = molarity of stock solution = [tex]0.034\times 10^{-5}M[/tex]

[tex]V_1[/tex] = volume of stock solution = 3.00 ml

[tex]M_2[/tex] = molarity of diluted solution = ?

[tex]V_2[/tex] = volume of diluted solution = 25.00 ml

[tex]0.034\times 10^{-5}M\times 3.00=M_2\times 25.00[/tex]

[tex]M_2=4.0\times 10^{-8}M[/tex]

Therefore, the concentration of final solution is [tex]4.0\times 10^{-8}M[/tex]

Molarity means the moles are divides by the volume of the solution. The molarity of the final dilution [tex]4.0\times10^-^8\;M[/tex]

What is molarity?

Molarity is the measure of the concentration of any solute in per unit volume of the solution.

By neutralization law

[tex]\rm M_1V_1=M_2V_2[/tex]

1. First dilution

M1 is molarity of stock solution = [tex]2.3 \times10^-^5 M[/tex]

V1 is volume of stock solution = 3.00 ml

V2 is volume of diluted solution = 25.00 ml

M2 molarity of diluted solution = ?

[tex]\rm (2.3 \times10^-^5)\times 3.00=M_2 \times 25.00[/tex]

[tex]M_2 = 0.28\times 10^-^5[/tex]

2. second dilution

M1 is molarity of stock solution = [tex]0.28\times 10^-^5[/tex]

V1 is volume of stock solution = 3.00 ml

V2 is volume of diluted solution = 25.00 ml

M2 molarity of diluted solution = ?

[tex]\rm (0.28\times 10^-^5)\times 3.00=M_2 \times 25.00\\\\M_2 = 0.034\times 10^-5[/tex]

3. Third dilution

M1 is molarity of stock solution = [tex]0.034\times 10^-5[/tex]

V1 is volume of stock solution = 3.00 ml

V2 is volume of diluted solution = 25.00 ml

M2 molarity of diluted solution = ?

[tex]\rm (0.034\times 10^-5)\times 3.00=M_2 \times 25.00\\\\M_2 = 4.0\times 10^-^8[/tex]

The molarity of the final dilution = [tex]4.0\times 10^-^8[/tex]

Learn more about molarity, here:

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