A lake/reservoir system has a total of 300,000 ft3 of water. A release stream from the dam isused to maintain this volume of water in the lake. At flood stage, two streams feed the lakesystem and an aqueduct diverts water to supply city needs. Stream 1 flows at 50,000 ft3/hr,Stream 2 at 10,000 ft3/ hr, and the aqueduct at of 5,000 ft³/hr.Water in the system and in all the streams is assumed to be at 10 °C. (You may use saturatedliquid properties at this temperature for your calculations.)(a) Determine the mass of water currently in the lake.(b) Find the release rate in (lb / hr) at the dam to maintain the current volume.

Fig: 1