You have 2m^3 of a mineral ore sample. It has a mass of 1x10^4 kg. Calculate the density of the ore sample and express your results in g/cm^3 with appropriate scientific notation.
2 m^3 x (100 cm/m)^3 = ? cm^3
1E4 kg x (1000 g/kg) = ?
Then density = mass in g/volume in cm^3
To calculate the density of the ore sample, you need to divide the mass of the sample by its volume.
Step 1: Convert the volume from cubic meters (m^3) to cubic centimeters (cm^3).
1 m^3 = 1,000,000 cm^3 (since 1 meter = 100 centimeters)
2m^3 * 1,000,000 cm^3/m^3 = 2,000,000 cm^3
So, the volume of the ore sample is 2,000,000 cm^3.
Step 2: Convert the mass from kilograms (kg) to grams (g).
1 kg = 1000 g
1x10^4 kg * 1000 g/kg = 1x10^7 g
So, the mass of the ore sample is 1x10^7 g.
Step 3: Calculate the density.
Density = Mass / Volume
Density = 1x10^7 g / 2,000,000 cm^3
Density = 5 g/cm^3
Therefore, the density of the ore sample is 5 g/cm^3 in appropriate scientific notation.