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Sagot :
To calculate the density of magnesium metal, we will follow the steps below:
1. Identify the given values:
- The volume of the magnesium block is [tex]\(460 \, \text{cm}^3\)[/tex].
- The mass of the magnesium block is [tex]\(1.51 \times 10^3 \, \text{g}\)[/tex].
2. Write the formula for density:
[tex]\[ \text{Density} (\rho) = \frac{\text{Mass}}{\text{Volume}} \][/tex]
3. Substitute the given values into the density formula:
[tex]\[ \text{Density} = \frac{1.51 \times 10^3 \, \text{g}}{460 \, \text{cm}^3} \][/tex]
4. Perform the division:
[tex]\[ \text{Density} = \frac{1510 \, \text{g}}{460 \, \text{cm}^3} \approx 3.2826 \, \text{g/cm}^3 \][/tex]
5. Express the answer with the correct number of significant figures:
- The volume [tex]\(460 \, \text{cm}^3\)[/tex] has three significant figures.
- The mass [tex]\(1.51 \times 10^3 \, \text{g}\)[/tex] has three significant figures.
- Therefore, our final answer should be expressed with three significant figures.
The density of magnesium metal is:
[tex]\[ \boxed{3.28 \, \text{g/cm}^3} \][/tex]
So the correct answer is [tex]\(3.28 \, \text{g/cm}^3\)[/tex].
1. Identify the given values:
- The volume of the magnesium block is [tex]\(460 \, \text{cm}^3\)[/tex].
- The mass of the magnesium block is [tex]\(1.51 \times 10^3 \, \text{g}\)[/tex].
2. Write the formula for density:
[tex]\[ \text{Density} (\rho) = \frac{\text{Mass}}{\text{Volume}} \][/tex]
3. Substitute the given values into the density formula:
[tex]\[ \text{Density} = \frac{1.51 \times 10^3 \, \text{g}}{460 \, \text{cm}^3} \][/tex]
4. Perform the division:
[tex]\[ \text{Density} = \frac{1510 \, \text{g}}{460 \, \text{cm}^3} \approx 3.2826 \, \text{g/cm}^3 \][/tex]
5. Express the answer with the correct number of significant figures:
- The volume [tex]\(460 \, \text{cm}^3\)[/tex] has three significant figures.
- The mass [tex]\(1.51 \times 10^3 \, \text{g}\)[/tex] has three significant figures.
- Therefore, our final answer should be expressed with three significant figures.
The density of magnesium metal is:
[tex]\[ \boxed{3.28 \, \text{g/cm}^3} \][/tex]
So the correct answer is [tex]\(3.28 \, \text{g/cm}^3\)[/tex].
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