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Question #e0ae8

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Jun 9, 2017

$20 . mL$ $20. "mL"$ should be correct.

Explanation:

This a dilution problem, so we can use the formula

$M_{conc} V_{conc} = M_{dil} V_{dil}$ $M_ "conc"V_ "conc" = M_ "dil"V_ "dil"$

where

$M_{conc}$ $M_"conc"$ is the molar concentration (molarity) of the concentrated, stock solution, and $M_{dil}$ $M_"dil"$ is the molar concentration of the dilute solution
$V_{conc}$ $V_"conc"$ is the volume of the concentrated, stock solution, and $V_{dil}$ $V_"dil"$ is the volume of the dilute solution

Let's rearrange the equation to solve for the volume of the stock solution, $V_{conc}$ $V_"conc"$ , and plug in our known values:

$V_ "conc" = (M_ "dil"V_ "dil")/(M_ "conc") = ((0.50cancel(M))(100.0"mL"))/(2.5cancel(M)) = color(red)(20."mL"$

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