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If a platinum nugget has a mass of 210.0 g and a volume of 9.77 cm³, what is the density of the metal?
Express the density to three significant figures and include the appropriate units.
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density of the platinum nugget= Value
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Sagot :

GinnyAnswer
To find the density of the platinum nugget, we use the formula for density:

[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]

Given:
- Mass ([tex]\(m\)[/tex]) = 210.0 grams
- Volume ([tex]\(V\)[/tex]) = 9.77 cubic centimeters ([tex]\( \text{cm}^3 \)[/tex])

Plug the given values into the formula:

[tex]\[ \text{Density} = \frac{210.0 \, \text{g}}{9.77 \, \text{cm}^3} \][/tex]

By performing this division, we obtain:

[tex]\[ \text{Density} = 21.494370522006143 \, \text{g/cm}^3 \][/tex]

To express the density to three significant figures, we round the result appropriately:

[tex]\[ \text{Density} \approx 21.494 \, \text{g/cm}^3 \][/tex]

Therefore, the density of the platinum nugget is [tex]\( 21.494 \, \text{g/cm}^3 \)[/tex], expressed to three significant figures and with the appropriate units.
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