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The density of copper is [tex]$8.95 \, \text{g/cm}^3$[/tex]. What is the volume (mL) of 113.5 g of copper?

A. [tex]12.7 \, \text{cm}^3[/tex]
B. [tex]35.9 \, \text{cm}^3[/tex]
C. [tex]1016 \, \text{cm}^3[/tex]
D. [tex]25 \, \text{cm}^3[/tex]

Answer :

To find the volume of titanium that has a mass of 113.5 grams, we need to know the density of titanium. The density of titanium is approximately 4.5 grams per cubic centimeter (g/cm³).

Here's how you can solve the problem:

1. Identify the Formula:
The formula to find volume when you have mass and density is:
[tex]\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\][/tex]

2. Plug in the Values:
- Mass = 113.5 grams
- Density of titanium = 4.5 g/cm³

Substituting the values into the formula gives:
[tex]\[
\text{Volume} = \frac{113.5 \text{ grams}}{4.5 \text{ g/cm}^3}
\][/tex]

3. Calculate the Volume:
When you divide 113.5 grams by 4.5 g/cm³, you get approximately 25.222222222 cm³.

4. Round to the Nearest Whole Number:
The calculated volume of titanium is approximately 25 cm³.

Therefore, the volume of 113.5 grams of titanium is about 25 cm³. The closest answer choice is 25 cm³.

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