What is the mass in grams of 2.50 gallons of water?The density of water is1.00 g/mL
The correct answer and explanation is:
To find the mass in grams of 2.50 gallons of water, given that the density of water is 1.00 g/mL, follow these steps:
- Convert gallons to milliliters (mL), because the density is given in grams per milliliter.
- Use the density formula to find the mass.
Step 1: Convert gallons to milliliters.
1 gallon = 3.78541 liters
Since 1 liter = 1000 milliliters,
1 gallon = 3.78541 × 1000 = 3785.41 mL
Therefore,
2.50 gallons = 2.50 × 3785.41 mL = 9463.53 mL
Step 2: Calculate mass using density.
Density = mass / volume
Rearranged,
Mass = Density × Volume
Given density of water = 1.00 g/mL,
Mass = 1.00 g/mL × 9463.53 mL = 9463.53 grams
So, the mass of 2.50 gallons of water is approximately 9463.53 grams.
Explanation:
The density of a substance is the amount of mass per unit volume. Since water has a density of 1.00 g/mL, this means that every milliliter of water weighs 1 gram. To find the mass of water when given a volume in gallons, it is necessary to convert gallons to milliliters because the density is given in grams per milliliter. Once the volume is converted into milliliters, multiplying the volume by the density gives the mass in grams directly. This process uses the fundamental relation between mass, volume, and density.
This type of calculation is common in chemistry and physics when converting between units or determining mass from volume measurements, especially for liquids like water. Accurate unit conversion is crucial because volumes in gallons and densities in grams per milliliter are not directly compatible without conversion. This ensures the answer has the correct units and is accurate.