You have a 100 ml stock solution of 100 mg/ml ampicillin in deionized water. You want to make 30 ml of 25 mg/ml ampicillin in deionized water. How much ampicillin stock and how much deionized water are needed to make this

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Answer:

The amount of  ampicillin stock is  [tex]V_3 = 7.5 mL[/tex]

The amount of deionized  is 22.5 \ mL

Explanation:

From the question we are told that

   The volume of stock solution of ampicillin in de-ionized water is [tex]V_0 = 100 mL[/tex]

   The concentration (in mg ) of ampicillin in de-ionized is [tex]C_0 = 100 mg/mL[/tex]

    The volume of ampicillin in deionized water to produce is [tex]V_2 = 30ml[/tex]

The concentration (in mg )  of ampicillin in de-ionized water to produce is [tex]C_2 = 25 mg/mL[/tex]

The chemical process can be mathematically represented as

            [tex]V_3 100 = 30 * 25[/tex]

=>          [tex]V_3 = \frac{30*25}{100}[/tex]

             [tex]V_3 = 7.5 mL[/tex]

The amount of  ampicillin stock is  [tex]V_3 = 7.5 mL[/tex] and amount of 25 mL  (30 - 7.5 = 22.5 mL ) of deionized water

       

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