While preparing a bath you have both the hot- and cold-water faucets on. A steady state has been reached with the water level in the tub constant. The ambient pressure is 100 kPa. This pressure can also be assumed to be the pressure associated with each stream. The cold-water stream enters at 286 K with a volumetric flow rate of 8.5051 × 10^–3 m³/s. Water exits the drain at 308 K with a volumetric flow rate of 1.8108 × 10^–4 m³/s. The hot water enters at 330 K. Determine the mass and volumetric flow rates of the incoming hot-water stream.