a student weighs out 37.0 grams worth of an unknown liquid into her graduated cylinder while preparing an experiment. Her formerly empty 100 mL graduated cylinder now contains exactly 25mL of liquid. She then adds 3.25 ml of H2O and according to her instructions the graduated cylinder should have been half full. What was the density of the liquid she added initially to the graduated cylinder?

Did I miss something here? According to the first part of your post the volume of the unknown liquid is exactly 25 mL. According to the last part it is 50-3.25 = 46.75 mL.

d = m/v but I don't know which volume to use.

To determine the density of the unknown liquid, we need to use the formula:

Density = Mass / Volume

1. Let's start by finding the mass of the liquid. The student weighed out 37.0 grams (g) of the unknown liquid.

2. Next, we need to calculate the volume of the liquid. Initially, the graduated cylinder was empty, and after pouring the unknown liquid, it contained 25 mL (milliliters).

3. To find the final volume of the liquid after adding 3.25 mL of water (H2O), we can subtract the added volume from the initial volume: 25 mL - 3.25 mL = 21.75 mL.

4. Now, we have the mass (37.0 g) and the volume (21.75 mL) of the unknown liquid. We can plug these values into the density formula:

Density = Mass / Volume
Density = 37.0 g / 21.75 mL

5. Finally, calculate the density using the given values:

Density ≈ 1.70 g/mL

Therefore, the density of the unknown liquid initially added to the graduated cylinder is approximately 1.70 g/mL.