a solution is prepared by diluting six times with the dilution factor of 1/5. if the final concentration of the serial dilution is 1.4x10-7 m, calculate the original concentration of the solution. (this is often used in biological sample analysis.)

Respuesta :

The original concentration of the solution will be 2.1 × 10⁻³ m

What is dilution factor?

Dilution factor is the ratio to dilute the stock solution. This can be expressed as the ratio of the volume of the final diluted solution to the initial volume removed from the stock solution.

Differs from dilution factor. Dilution ratio refers to a simple dilution ratio that combines a unit volume of solute with the desired volume of solvent. On the other hand, the dilution factor refers to the ratio between the volume of the initially concentrated solute and the volume of the final diluted solution. Which is DF = Vₙ / V₀

For the given question,

Vₙ = DF × V₀

Where, Vₙ = Final concentration of the serial dilution

V₀ = Original concentration of the solution

DF = Dilution factor

Since the solution is diluted 6 times then

Vₙ = 1/5⁶ × V₀

1.4x10⁻⁷ = V₀/15625

V₀ = 15625 × 1.4x10⁻⁷

V₀ = 2.1 × 10⁻³ m

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