While preparing a bath you have both the hot- and cold-water faucets on. The ambient pressure is 100 kPa. This pressure can also be assumed to be the pressure associated with each stream. The cold- and hot-water streams enter, respectively, at 289 K with a flow rate of 1.00 kg/s and at 335 K with a flow rate of 0.75 kg/s. The temperature of the water exiting the drain is 307 K. What is the necessary volume flow rate at the drain for the total mass in the tub to remain constant?