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Answer :
To find the density of gold, we can use the formula for density, which is:
[tex]\[ \text{density} = \frac{\text{mass}}{\text{volume}} \][/tex]
Here's how you can solve it step by step:
1. Identify the Mass and Volume:
- The mass of the gold sample is 38.6 grams.
- The volume of the gold sample is [tex]\(2 \, \text{cm}^3\)[/tex].
2. Apply the Formula:
- Use the formula for density: [tex]\(\text{density} = \frac{\text{mass}}{\text{volume}}\)[/tex].
3. Calculate the Density:
- Substitute the known values into the formula:
[tex]\[ \text{density} = \frac{38.6 \, \text{grams}}{2 \, \text{cm}^3} \][/tex]
4. Perform the Division:
- Calculate [tex]\(\frac{38.6}{2}\)[/tex] which equals 19.3.
Therefore, the density of the gold sample is [tex]\(19.3 \, \text{g/cm}^3\)[/tex].
[tex]\[ \text{density} = \frac{\text{mass}}{\text{volume}} \][/tex]
Here's how you can solve it step by step:
1. Identify the Mass and Volume:
- The mass of the gold sample is 38.6 grams.
- The volume of the gold sample is [tex]\(2 \, \text{cm}^3\)[/tex].
2. Apply the Formula:
- Use the formula for density: [tex]\(\text{density} = \frac{\text{mass}}{\text{volume}}\)[/tex].
3. Calculate the Density:
- Substitute the known values into the formula:
[tex]\[ \text{density} = \frac{38.6 \, \text{grams}}{2 \, \text{cm}^3} \][/tex]
4. Perform the Division:
- Calculate [tex]\(\frac{38.6}{2}\)[/tex] which equals 19.3.
Therefore, the density of the gold sample is [tex]\(19.3 \, \text{g/cm}^3\)[/tex].
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