Certainly! Let's detail the step-by-step process for converting and finding the necessary values.
1. Mass of empty container:
- The mass of the empty container given is 85.2 grams.
- In SI units, mass is measured in kilograms (kg).
- To convert grams to kilograms, we use the conversion [tex]\(1 \, \text{g} = 0.001 \, \text{kg}\)[/tex].
- Thus, [tex]\(85.2 \, \text{g} = 85.2 \times 0.001 \, \text{kg} = 0.0852 \, \text{kg}\)[/tex].
2. Mass of container and water:
- The mass of the container with water is given as 145.4 grams.
- Using the same conversion factor, [tex]\(145.4 \, \text{g} = 145.4 \times 0.001 \, \text{kg} = 0.1454 \, \text{kg}\)[/tex].
3. Volume of water:
- The volume of water is given as 61 milliliters (ml).
- In SI units, volume is measured in cubic meters (m³).
- The conversion from milliliters to cubic meters is [tex]\(1 \, \text{ml} = 1 \times 10^{-6} \, \text{m}^3\)[/tex].
- Therefore, [tex]\(61 \, \text{ml} = 61 \times 10^{-6} \, \text{m}^3 = 0.000061 \, \text{m}^3\)[/tex].
4. Mass of water in grams:
- To find the mass of the water, we subtract the mass of the empty container from the mass of the container with water.
- [tex]\(145.4 \, \text{g} - 85.2 \, \text{g} = 60.2 \, \text{g}\)[/tex].
- Therefore, the mass of the water is 60.2 grams.
5. Mass of water in SI units:
- To convert the mass of the water into kilograms, we again use the conversion factor [tex]\(1 \, \text{g} = 0.001 \, \text{kg}\)[/tex].
- So, [tex]\(60.2 \, \text{g} = 60.2 \times 0.001 \, \text{kg} = 0.0602 \, \text{kg}\)[/tex].
In summary:
1. Mass of empty container: [tex]\(85.2 \, \text{g} = 0.0852 \, \text{kg}\)[/tex]
2. Mass of container and water: [tex]\(145.4 \, \text{g} = 0.1454 \, \text{kg}\)[/tex]
3. Volume of water: [tex]\(61 \, \text{ml} = 0.000061 \, \text{m}^3\)[/tex]
4. Mass of water in grams: [tex]\(60.2 \, \text{g}\)[/tex]
5. Mass of water in SI units: [tex]\(0.0602 \, \text{kg}\)[/tex]
This step-by-step approach ensures all measurements and conversions are appropriately detailed and clear.
