A typical nuclear power plant with an operating efficiency of 34% generates 1 GW of electrical power. In doing so, it produces waste heat at a certain rate. The waste heat is then removed by thermal contact with water pumped in from a large lake nearby. Consider a plant where the intake water is at 64.4F. The intake water is the cold water that is piped into the plant that absorbs its output heat. State regulations limit the temperature of the output water to 86F so as not to harm sea life. The output water is the water that has already absorbed the output heat from the plant and is piped out of the plant. How much water (in gigakilograms -- i.e. billions of kilograms) need to be pumped through the nuclear plant each day to just barely abide by state regulations on output water temperature? Note that the specific heat of liquid water is 4184 J /(kg K).