The density of Unknown Metal C is 22.53 lb/gal. What is the density of Unknown Metal C in units of g/mL? (1 gal = 3.785 L and 1 lb = 453.592 g)

**Be sure to round your answer to the correct number of significant figures.**

 g/mL

To convert the density from pounds per gallon (lb/gal) to grams per milliliter (g/mL), we'll follow these steps:

### Step 1: Convert pounds to grams
\[
\text{Density in g/gal} = 22.53 \, \text{lb/gal} \times 453.592 \, \text{g/lb}
\]
\[
\text{Density in g/gal} = 22.53 \times 453.592 = 10,217.65 \, \text{g/gal}
\]

### Step 2: Convert gallons to liters
\[
\text{Density in g/L} = \frac{10,217.65 \, \text{g/gal}}{3.785 \, \text{L/gal}} 
\]
\[
\text{Density in g/L} = 2,699.26 \, \text{g/L}
\]

### Step 3: Convert grams per liter to grams per milliliter
Since \(1 \, \text{g/L} = 0.001 \, \text{g/mL}\), we divide by 1000:
\[
\text{Density in g/mL} = \frac{2,699.26 \, \text{g/L}}{1000} = 2.69926 \, \text{g/mL}
\]

### Step 4: Round to the correct number of significant figures
The given density was 22.53 lb/gal, which has 4 significant figures. Therefore, the final answer should also have 4 significant figures:
\[
\text{Density in g/mL} = 2.699 \, \text{g/mL}
\]

### Final Answer:
The density of Unknown Metal C is **2.699 g/mL**.

Would you like any further details or have any questions?

Here are 5 related questions to explore:
1. How do you convert g/mL to lb/ft³?
2. What is the significance of significant figures in measurements?
3. How would you determine the density of a metal experimentally?
4. What are the typical densities of common metals like aluminum or iron?
5. How does temperature affect the density of a substance?

**Tip:** Always be mindful of significant figures in your final answer, as they reflect the precision of your measurements or calculations.

Learn how to convert density from pounds per gallon (lb/gal) to grams per milliliter (g/mL) with a detailed step-by-step solution. This problem involves unit conversion and density calculations, providing a clear understanding of the process. Suitable for students in Grades 9-12.

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