A small lake contains 0.0500 mi3 of water [H2O]. If the density of water is 1.000 g/mL, determine the volume (in gal) of water in the lake.
To find the volume of water in the lake in gallons, we need to convert the given volume from cubic miles to gallons. Here are the steps to solve this:
1. Convert the volume of water in cubic miles to cubic inches. There are 1,472,000 cubic inches in a cubic mile. Therefore, to do this conversion, multiply the given volume in cubic miles by 1,472,000.
0.0500 mi³ * 1,472,000 in³/mi³ = 73,600,000 in³
2. Convert the volume in cubic inches to gallons. There are 231 cubic inches in a gallon. To obtain the volume in gallons, divide the volume in cubic inches by 231.
73,600,000 in³ ÷ 231 gal/in³ ≈ 318,359.31 gallons
Therefore, the volume of water in the lake is approximately 318,359.31 gallons.