An aluminum engine block has a volume of 4.86 L and a mass of 12.75 kg. What is the density of the aluminum in grams per cubic centimeter?
Change liters to cubic centimeters (cc) knowing there are 1000 cc in 1 L.
Change 12.75 kg to grams knowing there are 1000 g in 1 kg.
Then density = mass in g/volume in cc.
How many grams of acetic anhydride are needed to react with 3.25 of salicylic acid?
To find the density of aluminum in grams per cubic centimeter (g/cm³), we need to use the formula:
Density = Mass / Volume
Given that the volume of the aluminum engine block is 4.86 L and the mass is 12.75 kg, we need to convert the units appropriately.
1 liter (L) = 1000 cubic centimeters (cm³)
1 kilogram (kg) = 1000 grams (g)
First, we convert the volume from liters to cubic centimeters:
4.86 L * 1000 cm³/L = 4860 cm³
Next, we calculate the density using the mass and volume in grams and cubic centimeters:
Density = 12.75 kg * 1000 g/kg / 4860 cm³
Simplifying the equation, we have:
Density = 12.75 g / 4.86 cm³
Calculating the density:
Density = 2.617 g/cm³
Therefore, the density of the aluminum in grams per cubic centimeter is approximately 2.617 g/cm³.