A 55.81 gram irregular object made out of one of the metals in #6 raises the water level in a graduated cylinder from the 17.6 mL level to the 24.7 mL level. What is the density and identity of the metal?
A 55.81 gram irregular object made out of the one the metals in #6 raises the water level in a graduated cylinder from the 17.6 mL level to the 24.7 mL level. What is the density and identity of the metal?
density is mass/volume. Since they give you the mass of 55.81g already, you need to find the volume which is 24.7mL-17.6mL=7.10mL. 55.81g/7.10mL= 7.86 g/mL. mL=cm^3 so it becomes 7.86 g/cm3 or 7.86 gxcm^-3. The metal that matches this density is Iron.
To find the density of the metal, we can use the formula:
Density = Mass / Volume
First, let's convert the mass of the object from grams to kilograms (since density is typically measured in kg/m^3):
Mass = 55.81 grams = 0.05581 kg
Next, let's calculate the volume of the object. We can do this by subtracting the initial volume (17.6 mL) from the final volume (24.7 mL):
Volume = Final volume - Initial volume
= 24.7 mL - 17.6 mL
= 7.1 mL
Now, let's convert the volume from milliliters to cubic meters (since density is typically measured in kg/m^3):
Volume = 7.1 mL = 0.0071 L = 0.0071 dm^3 = 0.0071 * 0.001 m^3 = 0.0000071 m^3
Finally, we can substitute the values into the density formula:
Density = Mass / Volume
= 0.05581 kg / 0.0000071 m^3
≈ 7862.96 kg/m^3
Now that we have calculated the density, we can use it to identify the metal. To do this, we can refer to a table or chart that lists the densities of different metals. By comparing the calculated density (7862.96 kg/m^3) to those on the chart, we can determine which metal is most likely to match the given value.
Keep in mind that the density value might not match any specific metal in the chart exactly, as the given density is rounded. Nonetheless, finding the most similar density will provide a good estimate of the metal's identity.
density = mass/volume
mass = 55.81g
volume = 24.7-17.6 = ?mL.