Final answer:
The mass of a 2020 cm³ sample of galena is calculated using the density of galena (7.5 g/cm³). The mass is found to be 15150 g, which is equivalent to 15.15 kg. After rounding, the mass is 15.1 kg.
Step-by-step explanation:
The mass of a sample of galena with a volume of 2020 cm³ can be calculated using the formula for density, which is D = m/V, where D is density, m is mass, and V is volume. Galena, which is lead(II) sulfide (PbS), has a density of approximately 7.5 g/cm³. To find the mass, rearrange the formula to m = DV.
The calculation for the mass of galena would be as follows:
- m = DV = (7.5 g/cm³)(2020 cm³)
- m = 15150 g
To convert the mass from grams to kilograms, we divide by 1000 (since there are 1000 grams in a kilogram), which gives us:
- Mass in kilograms = 15150 g / 1000 = 15.15 kg
Therefore, the mass of the sample of galena is 15.15 kg. When rounded to the nearest tenth, it is 15.1 kg.