An old water-supply pipeline contains a long segment that is horizontal and 30 cm in diameter (cast iron). A leak along an inaccessible portion of the buried pipeline is highly likely. A pair of pressure gauges located upstream of the leak indicate a pressure drop of 23,000 N/m2. Another pair of pressure gauges located downstream of the leak indicate a pressure drop of 20,900 N/m2. The distance between the gauges in each pair is 100 m. Determine the magnitude of the leak. Assume minor losses are negligible and that the water temperature is 20°C.
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