14.0 grams of diamonds are placed in a graduated cylinder. What is the new water level measurement on the graduated cylinder
How would I know? I do not know diameter of cylinder or how much water was in it.
anyway:
the diamond sinks
it displaces a volume of water = 14 g / density of diamond in grams/cm^3
that volume in cm^3 = area of surface * height change
no idea, but it will have risen by the volume of the diamonds, right?
density = mass/volume, so ...
mass diamond = volume x density
14.0 = volume in cc x 3.51 g/cc
volume in cc = 14.0/3.51 = about 4 cc
So the new water level in the graduated cylinder will be increased by about 4 cc.
To determine the new water level measurement in the graduated cylinder after adding 14.0 grams of diamonds, you need to consider the displacement of water caused by the diamonds.
Here's how you can calculate it:
1. Find the volume of the diamonds:
- The density of diamonds is approximately 3.5 g/cm³ (varies depending on the type of diamond, but this is a reasonable average).
- Divide the mass of the diamonds (14.0 grams) by the density of diamonds (3.5 g/cm³) to find the volume:
Volume = mass / density = 14.0 g / 3.5 g/cm³
2. Calculate the displacement of water:
- Convert the volume of the diamonds from cubic centimeters (cm³) to milliliters (mL) since graduated cylinders usually measure volume in milliliters.
Volume (mL) = Volume (cm³)
- Subtract the volume of the diamonds from the initial water level to find the new water level measurement.
By following these steps, you can determine the new water level measurement in the graduated cylinder after adding 14.0 grams of diamonds.