Final answer:
To find the density of lead in SI units, convert the mass from grams to kilograms and the volume from cubic centimeters to cubic meters. Then, use the formula Density = Mass/Volume to get the density, which is 11,400 kg/m³.
Step-by-step explanation:
The student has asked for the calculation of the density of lead given its mass and volume, with the result expressed in SI units. First, we need to confirm the units of the mass, which is likely to be in grams given the context. The volume is already provided in cubic centimeters (cm³).
To calculate the density, we will use the formula:
Density = ΔMass /ΔVolume
Since the SI unit for density is kilograms per cubic meter (kg/m³), we will need to convert the mass from grams to kilograms and the volume from cubic centimeters to cubic meters before plugging the values into our formula.
Converting to SI units:
Mass in kilograms: 23.94 g × (1 kg / 1000 g) = 0.02394 kg
Volume in cubic meters: 2.10 cm³ × (1 m³ / 100³ cm³) = 2.10 × 10^-6 m³
Now, calculate the density of lead:
Density = 0.02394 kg / 2.10 × 10^-6 m³
After performing the division:
Density = 11,400 kg/m³
Therefore, the density of lead is 11,400 kg/m³ when expressed in SI units.