### Determine the specific gravity of barge runs on diesel fuel

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a poorly designed 100 ft long homogeneous barge runs on diesel fuel, the fuel is held in a 2' tall trapezoidal tank of the same length as the barge. and is located at the bottom of the barge hull. When the tank is completely full the loaded barge is submerged 14' from the bottom of the hull. As the barge travels the fuel level decreases and is replaced with air. The tank size remains the same, determine the specific gravity of the barge when the fuel tank is completely full, barge is loaded with 300 tons of cargo, it is submerged 14'

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