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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. 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?

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Convert between customary and metric systems

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Q. 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. 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?

Calculate Total Mass: First, we need to calculate the total mass of water that would be equivalent to $760$ gallons, since we know that a single gallon of water has a mass of about $3.8$ kg. $\newline$ Calculation: $760$ gallons $*$ $3.8$ kg/gallon
Perform Multiplication: Now, we perform the multiplication to find the total mass of water. $760 \times 3.8 = 2888 \, \text{kg}$
Calculate Specific Gravity: Next, we need to calculate the specific gravity of the jet fuel. The specific gravity is the ratio of the density of the jet fuel to the density of water. Since density is mass divided by volume, and the volume is the same for both the jet fuel and water ( $760$ gallons), we can compare the masses directly. $\newline$ Calculation: Specific gravity of jet fuel $= \frac{\text{Mass of jet fuel}}{\text{Mass of water}}$ $\newline$ Specific gravity of jet fuel $= \frac{2325 \, \text{kg}}{2888 \, \text{kg}}$
Perform Division: Now, we perform the division to find the specific gravity of the jet fuel. $2325 \, \text{kg} / 2888 \, \text{kg} \approx 0.805$
Round Specific Gravity: Finally, we round the specific gravity to the nearest tenth. $0.805$ rounded to the nearest tenth is $0.8$ .

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