Suppose a solution of concentration Co and volume Vo is diluted by successive ad

Question

Suppose a solution of concentration Co and volume Vo is diluted by successive additions each of volume V, of solvent. What is the error in Cn, the concentration after n such additions? Assume the error in V is (delta)V and that Co and Vo are known precisely.

Not really sure how to start this. I know it is error analysis but I am unsure of how to go about this.

Problem 7 Suppose a solution of concentration Co and volume Vo is diluted by successive additions each of volume V, of solvent. What is the error in Cn, the concentration after n such additions? Assume the error in V is AV and that Co and Vo are known precisely

Explanation / Answer

concentration after n additions=C0*V0/(V0+n*V)

as we know, error in diivision=error in numerator + error in denominator

here error in numerator is zero while error in denominator is n*delta_V

so total error in Cn is given by n*delta_V.

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