Question

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

Answer 1

The amount of ampicillin stock is
`V_3 = 7.5 mL`

The amount of deionized is 22.5 \ mL

Step-by-step explanation:

From the question we are told that

The volume of stock solution of ampicillin in de-ionized water is
`V_0 = 100 mL`

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

The volume of ampicillin in deionized water to produce is
`V_2 = 30ml`

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

The chemical process can be mathematically represented as

`V_3 100 = 30 * 25`

=>
`V_3 = (30*25)/(100)`

`V_3 = 7.5 mL`

The amount of ampicillin stock is
`V_3 = 7.5 mL` and amount of 25 mL (30 - 7.5 = 22.5 mL ) of deionized water