GATE 2016 CE (CE2) – Question 58

A penstock of 1 m diameter and 5 km length is used to supply water from a reservoir to an impulse turbine. A nozzle of 15 cm diameter is fixed at the end of the penstock. The elevation difference between the turbine and water level in the reservoir is 500 m. Consider the head loss due to friction as 5% of the velocity head available at the jet. Assume unit weight of water = 10 kN/m3 and acceleration due to gravity (g) = 10 m/s2. If the overall efficiency is 80%, power generated (expressed in kW and rounded to nearest integer) is _______________