Calculate the mass of copper in kilograms (density = 8.96 g/mL) with the same volume as 225.0 grams of gold (density = 19.31 g/mL).
mass = volume x density
Find the volume of the gold. That's v = m/d = 225.0/19.31 = 11.65 mL
Now the Cu, mass = v*d = 11.65 mLx 8.96 g/mL = ? grams. Convert to kg.
To calculate the mass of copper with the same volume as 225.0 grams of gold, we need to determine the volume of gold first. We can use the formula:
Volume = Mass / Density
The volume of gold can be calculated as follows:
Volume of gold = 225.0 g / 19.31 g/mL
Let's calculate the volume of gold first.
To calculate the mass of copper with the same volume as 225.0 grams of gold, we can use the equation:
mass = density × volume
First, let's convert the mass of gold from grams to milliliters using its density:
volume of gold = mass of gold / density of gold
volume of gold = 225.0 g / 19.31 g/mL
volume of gold = 11.64 mL (rounded to two decimal places)
Now, we can calculate the mass of copper using its density and the volume of gold:
mass of copper = density of copper × volume of gold
mass of copper = 8.96 g/mL × 11.64 mL
mass of copper = 104.48 g (rounded to two decimal places)
Finally, let's convert the mass of copper from grams to kilograms:
mass of copper in kilograms = mass of copper / 1000
mass of copper in kilograms = 104.48 g / 1000
mass of copper in kilograms ≈ 0.1045 kg (rounded to four decimal places)
Therefore, the mass of copper with the same volume as 225.0 grams of gold is approximately 0.1045 kilograms.