What is the mass in grams of 2.50 gal of water? The density of water is 1.00 g/mL
The correct answer and explanation is:
To find the mass in grams of 2.50 gallons of water when the density of water is 1.00 g/mL, follow these steps:
- Convert gallons to milliliters because the density is given in grams per milliliter.
- Use the density formula to calculate the mass.
Step 1: Convert gallons to milliliters
1 gallon = 3.78541 liters
1 liter = 1000 milliliters
Therefore,
2.50 gallons × 3.78541 L/gallon = 9.463525 liters
9.463525 liters × 1000 mL/L = 9463.525 milliliters
Step 2: Calculate the mass using density
Density = mass/volume
Mass = density × volume
Given density = 1.00 g/mL and volume = 9463.525 mL,
Mass = 1.00 g/mL × 9463.525 mL = 9463.525 grams
Final answer: The mass of 2.50 gallons of water is approximately 9464 grams.
Explanation:
Density is a measure of how much mass is contained in a given volume of a substance. Water has a density of 1.00 gram per milliliter, meaning each milliliter of water weighs exactly one gram. To find the mass from a volume in gallons, it is necessary to first convert gallons into a volume unit compatible with the density units, which is milliliters in this case.
The conversion factor from gallons to liters is a standard measurement used in the metric system, and since the density is per milliliter, converting liters to milliliters ensures consistent units. Once volume is converted, multiplying by the density gives the mass directly because density links mass and volume.
This problem demonstrates the importance of unit conversion in chemistry and physics, especially when dealing with measurements from different systems. The density of water being 1 g/mL makes the calculation straightforward since volume and mass numerically match when converted properly. The final mass in grams reflects the actual amount of water corresponding to the original volume given in gallons.