Cold air at -10°C and 100 kPa (Stream 1) enters a compressor at a mass flow rate of 0.1 kg/s; it exits at 5°C and 300 kPa (Stream 2). The compressor operates at an input power of 2 kW, and it is known to exchange heat with its surroundings. A sketch of the system, which operates at steady state, is shown below. For this problem, potential and kinetic energies can be neglected in all energy balances. Air behaves as an ideal gas with R = 0.287 kJ/kg-K, Cpo = 1.004 kJ/kg-K, C = 0.717 kJ/kg-K where Cp, and C, are constants. air air throttling valve heat compressor exchanger water (a) What is the rate of heat exchange (in kW) between the compressor and its surroundings? Clearly specify, in words, whether the heat flow is into the compressor or out of the compressor. (b) Given that the pipe connections in Streams 1 and 2 have the same cross-sectional area, determine the ratio V2/V, (V is the velocity). The air in Stream 2 is next passed through a heat exchanger. On exit, the air temperature is raised to 70°C, while the pressure remains unchanged at 300 kPa (Stream 3). This temperature rise is effected by a water stream which enters the heat exchanger at 100°C and with a quality of 5% (Stream 5); it exits as a saturated liquid at the same temperature (Stream 6). (c) What is the mass flow rate of the water stream (in kg/s)? As a final step, the warm air in Stream 3 is throttled down to a pressure of 100 kPa (Stream 4) so that it can be used for space heating. (d) What is the temperature of Stream 4 (in °C)? Explain.