A tank holds 400 tons of sea water when filled. How many tons of liquid of specific gravity 0.9300 will it hold when filled to 90% capacity?
• Specific gravity as the ratio of a liquid’s density to freshwater (or seawater, depending on context) • Relationship between weight, volume, and density: a tank’s volume does not change when you change liquids • Effect of 90% capacity on the total amount of liquid the tank can hold
• First, if the tank holds 400 tons of seawater when completely full, what is the effective "volume" of the tank in terms of tons of seawater? • How does a liquid with specific gravity 0.93 compare in weight to seawater for the same volume? Heavier, lighter, or the same? • After adjusting for the different specific gravity, how do you then apply the 90% fill level to find the final tonnage?
• Be clear whether 400 tons refers to the weight or the volume; does the physical volume of the tank change when the liquid changes? • Apply the specific gravity as a multiplier in the correct direction (does it make the tonnage go up or down for the same volume?). • Only after adjusting for the different liquid’s density should you apply the 90% capacity factor.
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