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What is the density of copper if 11.8 cm3 of copper has a mass of 105.2 g?7.92 g/cm38.92 g/cm39.92 g/cm310.92 g/cm3None of the above

Question

What is the density of copper if 11.8 cm³ of copper has a mass of 105.2 g?

  • 7.92 g/cm³
  • 8.92 g/cm³
  • 9.92 g/cm³
  • 10.92 g/cm³
  • None of the above
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Solution

1. Break Down the Problem

To find the density of copper, we need to use the formula for density, which is defined as:

Density=MassVolume \text{Density} = \frac{\text{Mass}}{\text{Volume}}

Given:

  • Mass of copper = 105.2 g
  • Volume of copper = 11.8 cm³

2. Relevant Concepts

Using the density formula provided above, we will substitute the given values to find the density of copper.

3. Analysis and Detail

Now we will perform the calculation:

Density=105.2g11.8cm3 \text{Density} = \frac{105.2 \, \text{g}}{11.8 \, \text{cm}^3}

Calculating this gives:

Density=8.91g/cm3 \text{Density} = 8.91 \, \text{g/cm}^3

4. Verify and Summarize

The calculation appears correct, and we verify that the mass and volume were appropriately used. The calculated density of copper is approximately 8.91 g/cm³.

Final Answer

The density of copper is 8.92 g/cm³ (rounded to two decimal places). Thus, the correct answer from the options provided is 8.92 g/cm³.

This problem has been solved

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