To determine the mass of 3.00 barrels of oil in kilograms, we will follow several steps involving unit conversions and density calculations.
### Step-by-Step Solution:
1. Determine the volume of oil in barrels:
Given:
- Number of barrels = 3.00 barrels
- Volume per barrel = 42.0 gallons
Therefore, the total volume in gallons is:
[tex]\( 3.00 \times 42.0 = 126.0 \)[/tex] gallons
2. Convert the volume of oil from gallons to liters:
Using the conversion factor:
- 1 gallon = 3.8754 liters
The total volume in liters is:
[tex]\( 126.0 \times 3.8754 = 488.3004 \)[/tex] liters
3. Convert the volume from liters to milliliters:
- 1 liter = 1000 milliliters
The total volume in milliliters is:
[tex]\( 488.3004 \times 1000 = 488300.4 \)[/tex] milliliters
4. Calculate the mass of the oil in grams:
Given:
- Density of oil = [tex]\( 0.85 \)[/tex] g/mL
The mass in grams is:
[tex]\( 0.85 \times 488300.4 = 415055.34 \)[/tex] grams
5. Convert the mass from grams to kilograms:
- 1 kilogram = 1000 grams
The mass in kilograms is:
[tex]\( \frac{415055.34}{1000} = 415.05534 \)[/tex] kilograms
### Final Result:
The mass of 3.00 barrels of oil is approximately 415 kilograms.
Hence, the correct answer is B. 415 kg.
