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How many milliliters of 100% Sodium benzoate stock solution would the nurse add to how many mL of water in order to prepare 500 milliliters of a 25% solution?

A) 125 mL, 375 mL
B) 150 mL, 350 mL
C) 175 mL, 325 mL
D) 200 mL, 300 mL

User UrmLmn
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1 Answer

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Final answer:

To prepare 500 mL of a 25% Sodium benzoate solution, the nurse would add 100 mL of the 100% Sodium benzoate stock solution to 400 mL of water.

Step-by-step explanation:

To prepare a 25% solution of Sodium benzoate with a volume of 500 mL, the nurse would need to add a certain volume of the 100% Sodium benzoate stock solution to a certain volume of water.

We can use the equation:

Volume of Stock Solution x Concentration of Stock Solution = Volume of Final Solution x Concentration of Final Solution

Let's assume the nurse adds x mL of the stock solution. So, the volume of water would be (500 - x) mL.

Using the equation, we can set up the following proportion:

x mL x 100% = (500 - x) mL x 25%

Simplifying the equation, we get:

100x = 12500 - 25x

Combining like terms, we have:

125x = 12500

Dividing both sides by 125, we find:

x = 100

Therefore, the nurse would add 100 mL of the 100% Sodium benzoate stock solution to 400 mL of water to prepare the 500 mL of a 25% solution.

User Regev Avraham
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