A horizontal pipeline is (500 mathrm{~mm}) in diameter and carries oil at a rate of (150 mathrm{~kg}

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A horizontal pipeline is \(500 \mathrm{~mm}\) in diameter and carries oil at a rate of \(150 \mathrm{~kg} / \mathrm{s}\). This oil has a mass density of \(850 \mathrm{~kg} / \mathrm{m}^{3}\) and a viscosity of \(0.224 \mathrm{~Pa} \cdot \mathrm{s}\) at the temperature of the pipeline. If the pressure in the oil is \(3.75 \mathrm{~atm}\) at the front end, how long can the pipeline be so that the pressure at the far end is no less than \(2.50 \mathrm{~atm}\) ?

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