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Question
specific gravity is the ratio, as a decimal, of the density of a substance to the density of water. density is the ratio of the mass to the volume. the mass of 760 gallons of fuel is 2325 kilograms (kg). a single gallon of water has a mass of about 3.8 kg. to the nearest tenth, what is the specific gravity of jet fuel?
Step1: Calculate the density of the fuel
Density of fuel = $\frac{\text{mass of fuel}}{\text{volume of fuel}}$.
Given mass of fuel is $2325$ kg and volume is $760$ gallons.
So, density of fuel $=\frac{2325}{760}\approx3.06$ kg/gallon.
Step2: Calculate the density of water
Given a single gallon of water has a mass of $3.8$ kg. So density of water is $3.8$ kg/gallon.
Step3: Calculate the specific gravity
Specific gravity = $\frac{\text{density of fuel}}{\text{density of water}}$.
Substitute the values: $\frac{3.06}{3.8}\approx0.8$.
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$0.8$