Problem 1: Air is heated from 15C to 245C in an industrial process. During this process, air experiences an increase of 6698J/mol in its specific enthalpy. The volumetric flow rate of air and its absolute pressure at the exit are measured to be 0.108m3/s and 138kPa, respectively. The changes in the kinetic and potential energies are negligible in this process. (a) What is the molar flow rate of the air at the exit assuming an ideal gas behavior (in mol/s )? (b) What is the rate of heat transfer to the air based on the first law of thermodynamics (in kW )? Problem 2: Saturated steam at 3 bar enters a process at a negligible velocity (u10m/s) and leaves the process as saturated steam at 100C. Assume that the steam flows through the process at a mass flow rate of 1.00kg/s. The heat loss from the process to the surrounding is negligible. (a) What is the specific enthalpy of the steam at the inlet (in kJ/kg )? (b) What is the specific enthalpy of the steam at the outlet (in kJ/kg )? (c) What is the velocity of the steam at the outlet (in m/s )? Hint: Use the first law of thermodynamics and solve for u2 (velocity at the outlet). Pay attention to units (W vs. KW). Problem 3: Two streams of water vapor enter a heating unit. Stream 1 is saturated vapor at 5 bar with a flow rate of 212kg/h, and stream 2 is vapor at 5 bar and 300C with a flow rate of 90kg/h. The vapor leaving the heating unit is at 5 bar and 200C. (a) What is the mass flow rate of the vapor leaving the heating unit (in kg/h )? (b) What is the specific enthalpy of the vapor in stream 1 (in kJ/kg )? (c) What is the specific enthalpy of the vapor in stream 2( in kJ/kg) ? (d) What is the specific enthalpy of the vapor in the exit stream (in kJ/kg )? (e) What is the rate of heat transfer in this process based on the first law of thermodynamics (in kJ/h )? (f) Is this a steady-state or an unsteady-state process