A student needs to mix 50 ml. of glycine with 950 ml. of distilled water.

This student has only a 25 ml. graduated cylinder. How many times will the
student have to use the cylinder both glycine and water to prepare the solution?

How much solution do you need? That's 950 mL + 50 mL = 1000 mL

(25 ml/time) x # times = 1000
Solve for # times.

400

To determine the number of times the student will have to use the 25 ml graduated cylinder to mix both glycine and water, we need to calculate the total volume and then divide it by the capacity of the cylinder.

Let's break it down step by step:

1. First, calculate the total volume required for the solution by adding the volume of glycine and the volume of water:
Glycine volume = 50 ml
Water volume = 950 ml

Total volume = Glycine volume + Water volume = 50 ml + 950 ml = 1000 ml

2. Next, determine how many times the student will need to use the 25 ml graduated cylinder to achieve the total volume:
Divide the total volume (1000 ml) by the capacity of the cylinder (25 ml):
Number of times = Total volume / Cylinder capacity = 1000 ml / 25 ml = 40

Therefore, the student will need to use the 25 ml graduated cylinder 40 times to prepare the solution by sequentially measuring both glycine and water.