The density of mercury is converted from 13.6 g/cm³ to kilogram per cubic meter by applying the conversion factors, resulting in a density of 13,600 kg/m³.
To convert the density of mercury from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we apply the given conversion factors:
1 kg = 1,000 g (to convert mass from grams to kilograms)
1 m³ = 1,000,000 cm³ (to convert volume from cubic centimeters to cubic meters)
Given that the density of mercury is 13.6 g/cm³, first convert the mass to kilograms:
13.6 g/cm³ × (1 kg / 1,000 g) = 0.0136 kg/cm³
Next, convert the volume to cubic meters:
0.0136 kg/cm³ × (1,000,000 cm³ / 1 m³) = 13,600 kg/m³
Therefore, the density of mercury in kilograms per cubic meter is 13,600 kg/m³.
The probable question may be:
The density of mercury is 13.6 grams per cubic centimeter. Convert this density to kilograms per cubic meter using the appropriate conversion factors: \(1 \, \text{kg} = 1,000 \, \text{g}\) and \(1 \, \text{m}^3 = 10^6 \, \text{cm}^3\). Show the step-by-step calculation and express the final answer in kg/m³.