Given that the density of water is approximately 1.00 g/cm^3 and 1 gallon is equal to 3.785 liters, what is the mass in kilograms of 4 gallons of water?

• A. 18.9 kg
• B. 7.57 kg
• C. 3.79 kg
• D. 15.1 kg

Answer: (D)

Verified step by step guidance

1. Identify the given information: density of water = 1.00 g/cm\^3, volume = 4 gallons, and 1 gallon = 3.785 liters.
2. Convert the volume from gallons to liters using the conversion factor: multiply 4 gallons by 3.785 liters/gallon to get the volume in liters.
3. Convert the volume from liters to cubic centimeters (cm\^3) since the density is given in g/cm\^3. Recall that 1 liter = 1000 cm\^3, so multiply the volume in liters by 1000.
4. Calculate the mass in grams by multiplying the volume in cm\^3 by the density of water (1.00 g/cm\^3).
5. Convert the mass from grams to kilograms by dividing the mass in grams by 1000.