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.