What will be the average density for a sample of metal with a mass of 12.6 g and volume calculations of 7.8 mL and 8.3 cm3 ? Omit units in the answer and report answer to one decimal place.
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To find the average density of a sample of metal, you need to divide the mass of the sample by its volume. In this case, we have two different values for the volume – 7.8 mL and 8.3 cm^3. Since the units are different, we need to convert one of them to the other unit before calculating the average density.
First, let's convert the volume from mL to cm^3:
1 mL = 1 cm^3
So, 7.8 mL is equal to 7.8 cm^3.
Now, we can calculate the average density:
Density = Mass / Volume
Density = 12.6 g / (7.8 cm^3 + 8.3 cm^3)
Density = 12.6 g / 16.1 cm^3
Now, divide the mass by the total volume:
Density ≈ 0.78 g/cm^3
Therefore, the average density of the metal sample is approximately 0.8 g/cm^3, rounded to one decimal place.