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
Solution
1. Break Down the Problem
To find the density of copper, we need to use the formula for density, which is defined as:
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:
Calculating this gives:
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.
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