A metal rod has a mass of 17.62 g. A graduated cylinder contains 29.9 mL of water. The metal rod is added to the cylinder. The final water level in the cylinder is 36.1 mL. What is the density of the metal rod?
Well, well, well. Looks like we have some measurements to work with here. To find the density of the metal rod, we need to divide its mass by its volume.
First, let's convert the mass of the rod from grams to kilograms. That's 17.62 g divided by 1000 (because there are 1000 grams in a kilogram). So, the mass is 0.01762 kg.
Next, we find the volume of the metal rod by subtracting the initial water level (29.9 mL) from the final water level (36.1 mL). That gives us a volume of 6.2 mL.
Now, we convert the volume from milliliters to liters (because density is typically measured in kilograms per liter). That's 6.2 mL divided by 1000 (because there are 1000 milliliters in a liter). So, the volume is 0.0062 L.
Finally, we calculate the density by dividing the mass (0.01762 kg) by the volume (0.0062 L). And voila! The density of the metal rod is 2.839 kg/L.
So, in conclusion, the metal rod has a density of 2.839 kg/L. Hope that helps, or at least gives you a chuckle!
To find the density of the metal rod, you can use the formula:
Density = Mass / Volume
First, you will need to calculate the volume of the metal rod. Since the water level in the graduated cylinder increased from 29.9 mL to 36.1 mL after adding the rod, the volume of the rod can be calculated by subtracting the initial volume (29.9 mL) from the final volume (36.1 mL).
Volume of the metal rod = Final volume - Initial volume
= 36.1 mL - 29.9 mL
= 6.2 mL
Next, you need to convert the volume of the metal rod from milliliters to cubic centimeters (cm³) because the units of density are typically expressed in g/cm³.
1 mL is equal to 1 cm³, so the volume of the metal rod in cm³ is also 6.2 cm³.
Finally, you can substitute the values into the formula to find the density:
Density = Mass / Volume
= 17.62 g / 6.2 cm³
≈ 2.839 g/cm³
Therefore, the density of the metal rod is approximately 2.839 g/cm³.
To find the density of the metal rod, we need to use the formula for density:
Density = mass / volume
First, we need to determine the volume of the metal rod. We can do this by subtracting the initial volume of water in the graduated cylinder from the final volume after the rod is added.
Final volume - initial volume = volume of the metal rod
Given:
Initial volume of water = 29.9 mL
Final volume of water = 36.1 mL
Using the given values, we can calculate the volume of the metal rod:
Volume of metal rod = 36.1 mL - 29.9 mL
Volume of metal rod = 6.2 mL
Next, we calculate the density by dividing the mass of the metal rod by its volume:
Density = mass of metal rod / volume of metal rod
Given:
Mass of metal rod = 17.62 g
Density = 17.62 g / 6.2 mL
Finally, we convert the density to the appropriate units. In this case, we want the density in grams per milliliter (g/mL):
Density = 17.62 g / 6.2 mL
Density = 2.842 g/mL
Therefore, the density of the metal rod is 2.842 g/mL.
density = mass/volume
mass = 17.62 g.
volume = 36.1 mL - 29.9 mL = ?
Substitute and solve for density.