Calculate the density of an unknown sample of metal given that a 2.3504 gram sample of metal causes the water level in a graduated cylinder to rise from 33.5 ml to 35.2 ml. Show work
density = mass/volume.
mass = 2.3504 from the problem.
volume = 35.2-33.5 = ?
1.7 mL
To calculate the density of the unknown metal sample, we need to use the formula:
Density = Mass / Volume
Given information:
Mass of the metal sample = 2.3504 grams
Volume of water displaced = 35.2 ml - 33.5 ml = 1.7 ml
Now let's convert the volume from milliliters (ml) to cubic centimeters (cc), as they are equivalent:
1 ml = 1 cc
Therefore, the volume of water displaced is also 1.7 cc.
Now we can calculate the density:
Density = 2.3504 grams / 1.7 cc
Density ≈ 1.3829 grams/cc
So, the density of the unknown sample of metal is approximately 1.3829 grams per cubic centimeter.
To calculate the density of an unknown sample of metal, you need to use the formula:
Density = Mass / Volume
Given that the mass of the sample is 2.3504 grams and the volume increase in water level is from 33.5 ml to 35.2 ml, you can calculate the volume of the sample as:
Volume = Final Volume - Initial Volume
Volume = 35.2 ml - 33.5 ml
Volume = 1.7 ml
Now, you have the mass of the sample (2.3504 grams) and the volume of the sample (1.7 ml).
Substitute these values into the density formula:
Density = 2.3504 g / 1.7 ml
To calculate the density, divide the mass by the volume:
Density = 2.3504 g / 1.7 ml
Density = 1.382 g/ml
Therefore, the density of the unknown metal sample is 1.382 g/ml.