Subjects physics

Specific Gravity 0944Cd

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1. **State the problem:** We need to find the specific gravity of jet fuel, which is the ratio of the density of the jet fuel to the density of water. 2. **Recall the formulas:** - Density is mass divided by volume: $$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$$ - Specific gravity is the ratio of the density of the substance to the density of water: $$\text{Specific Gravity} = \frac{\text{Density of substance}}{\text{Density of water}}$$ 3. **Calculate the density of jet fuel:** - Mass of jet fuel = 2325 kg - Volume of jet fuel = 760 gallons $$\text{Density of jet fuel} = \frac{2325}{760} \approx 3.0592\ \text{kg/gallon}$$ 4. **Calculate the density of water:** - Given mass of 1 gallon of water = 3.8 kg - Volume of water = 1 gallon $$\text{Density of water} = \frac{3.8}{1} = 3.8\ \text{kg/gallon}$$ 5. **Calculate the specific gravity:** $$\text{Specific Gravity} = \frac{3.0592}{3.8}$$ 6. **Show intermediate cancellation:** $$\text{Specific Gravity} = \frac{\cancel{3.0592}}{\cancel{3.8}} \approx 0.8051$$ 7. **Round to the nearest tenth:** $$0.8051 \approx 0.8$$ **Final answer:** The specific gravity of jet fuel is approximately **0.8**.