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March 25, 2017

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how many milliliters of 0.10 M HCl must be added to 50.0 mL of 0.40 HCl to give a final solution that has a molarity of 0.25 M?

  • AP Chem - ,

    work with the moles.

    x ml of .1M HCl has .0001x moles HCl
    50ml of .40M HCl contains .05*.4 = .02M HCl

    (x+50)ml of .25M HCl contains (x+50)/1000 * .25 = .00025x + .0125 M of HCl

    so, the moles need to add up:

    .0001x + .02 = .00025x + .0125
    x = 50

    check:
    since equal amounts of .1M and .4M acid are mixed, the concentration will be the average of .1 and .4, or .25

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