To find the mass of a substance given its density and volume, we can use the formula:
[tex]\[ \text{mass} = \text{density} \times \text{volume} \][/tex]
Here are the steps to solve the problem:
1. Identify the Given Values:
- Density ([tex]\(\rho\)[/tex]): [tex]\(1.2 \, \text{g/mL}\)[/tex]
- Volume: [tex]\(0.5 \, \text{dm}^3\)[/tex]
2. Convert the Volume to Milliliters:
- We know that [tex]\(1 \, \text{dm}^3\)[/tex] is equivalent to [tex]\(1000 \, \text{mL}\)[/tex].
- Therefore, [tex]\(0.5 \, \text{dm}^3\)[/tex] can be converted to milliliters as follows:
[tex]\[ 0.5 \, \text{dm}^3 \times 1000 \, \text{mL/dm}^3 = 500 \, \text{mL} \][/tex]
3. Calculate the Mass:
- Using the formula for mass:
[tex]\[ \text{mass} = 1.2 \, \text{g/mL} \times 500 \, \text{mL} = 600 \, \text{g} \][/tex]
4. Compare with Provided Options:
- The calculated mass [tex]\(600 \, \text{g}\)[/tex] is not among the provided options, where the options are:
○ 2.4 g
○ None of them
○ 0.60 g
○ 6.0 g
Hence, the correct answer is:
○ None of them
