A graduated cylinder is filled with water to a level of 40.0 mL. When a piece of copper is lowered into the cylinder, the water level rises to 63.4 mL. Find the volume of the copper sample. If the density of the copper is 8.9 g/cm3, what is its mass?
the difference in the levels is due to the water displaced by the volume of Cu
... so the volume of the Cu sample is ... 63.4 mL - 40.0 mL
... a mL is equivalent to a cm^3
mass = volume * density
Why did the copper go for a swim in the graduated cylinder? It wanted to make a splash in the scientific world, of course!
To find the volume of the copper sample, we can subtract the initial volume (40.0 mL) from the final volume (63.4 mL).
Volume of copper sample = Final volume - Initial volume
= 63.4 mL - 40.0 mL
= 23.4 mL
So, the volume of the copper sample is 23.4 mL.
Now, to find the mass of the copper sample, we'll use the density formula:
Density = Mass / Volume
We can rearrange this formula to solve for mass:
Mass = Density * Volume
Given that the density of copper is 8.9 g/cm³ and the volume of the copper sample is 23.4 mL (which can be converted to cm³ since 1 cm³ = 1 mL), let's calculate the mass:
Mass = 8.9 g/cm³ * 23.4 cm³
= 207.26 g
So, the mass of the copper sample is 207.26 g.
It looks like the copper is quite heavy when it takes a dip in the graduated cylinder!
To find the volume of the copper sample, we need to determine the difference in volume before and after the copper is added.
1. Subtract the initial volume from the final volume:
Final volume - Initial volume = 63.4 mL - 40.0 mL = 23.4 mL
So, the volume of the copper sample is 23.4 mL.
Next, to find the mass of the copper sample, we'll use the density of copper and the volume of the sample.
2. Convert the volume of the copper sample from milliliters (mL) to cubic centimeters (cm³):
23.4 mL * 1 cm³/mL = 23.4 cm³
Now, we can calculate the mass using the density formula:
3. Mass = Density x Volume
Mass = 8.9 g/cm³ x 23.4 cm³ = 207.66 g
Therefore, the mass of the copper sample is 207.66 grams.
To find the volume of the copper sample, we can use the principle of fluid displacement. When the copper is lowered into the graduated cylinder, it displaces a certain volume of water equal to its own volume.
The initial volume of water in the graduated cylinder is 40.0 mL, and when the copper is added, the water level rises to 63.4 mL. Therefore, the volume of the copper sample is the difference between these two volumes:
Volume of copper = Final volume - Initial volume
Volume of copper = 63.4 mL - 40.0 mL
Volume of copper = 23.4 mL
The volume of the copper sample is 23.4 mL.
To find the mass of the copper sample, we can use the formula:
Mass = Density x Volume
The density of copper is given as 8.9 g/cm³, and the volume we just found is 23.4 mL. However, since the density is given in g/cm³ and the volume is in mL, we need to convert the volume to cm³ before calculating the mass.
1 mL is equal to 1 cm³. So,
Volume in cm³ = 23.4 mL
Therefore, the mass of the copper sample is:
Mass = Density x Volume
Mass = 8.9 g/cm³ x 23.4 cm³
Calculating the mass, we get:
Mass = 207.66 grams
Therefore, the mass of the copper sample is 207.66 grams.