a cube of metal has a mass of 1.45 kg. when the metal is placed into a graduated cylinder containing 356mL of water, the volume increases to 898 mL. calculate the density of the metal in g/mL
1450g/(898-356)mL = 2.675 g/mL
To calculate the density of the metal, we need to use the formula:
Density = Mass / Volume
First, let's convert the mass of the metal from kilograms (kg) to grams (g). We know that 1 kg is equal to 1000 g. So,
Mass = 1.45 kg * 1000 g/kg = 1450 g
Next, we need to calculate the volume of the metal. The increase in volume of the graduated cylinder after placing the metal inside represents the volume of the metal. Therefore, we can find the volume of the metal by subtracting the initial volume of water (356 mL) from the final volume after adding the metal (898 mL).
Volume = Final Volume - Initial Volume
Volume = 898 mL - 356 mL = 542 mL
Now, we can plug the values into the density formula:
Density = Mass / Volume
Density = 1450 g / 542 mL
Finally, we can calculate the density:
Density = 1450 g / 542 mL ≈ 2.68 g/mL
Therefore, the density of the metal is approximately 2.68 g/mL.