A piece of metal has a mass of 0.010107 kg. When it was placed into a 100-mL graduated cylinder containing 30.0 mL of water, the volume of water increased to 32.3 mL. What is the density of the metal (g/mL)?
volume = 2.3 ml
mass = 1.0107*10^-2 kg =10.107 grams
density= m/v =10.107/2.3 = 4.39 g/mL
maybe Titanium ?
To find the density of the metal, we need to use the formula:
Density = Mass / Volume
Step 1: Determine the mass of the metal.
The given mass of the metal is 0.010107 kg.
Step 2: Determine the volume of the metal.
The volume of the metal can be obtained by subtracting the initial volume of water (30.0 mL) from the final volume of water (32.3 mL).
Volume of metal = Final volume of water - Initial volume of water = 32.3 mL - 30.0 mL = 2.3 mL.
Step 3: Convert the mass from kg to grams.
1 kg = 1000 g, so the mass of the metal in grams is:
Mass = 0.010107 kg * 1000 g/kg = 10.107 g.
Step 4: Calculate the density.
Density = Mass / Volume = 10.107 g / 2.3 mL = 4.394 g/mL.
Therefore, the density of the metal is 4.394 g/mL.