1. A circuit has a 1K ohm resistor. You need to temporally change the resistor value in the circuit to 200 ohms. What value of resistor would you place in parallel with the 1K ohm resistor to give you the total resistance of 200 ohms?

Air enters a horizontal, constant-diameter heating duct operating at steady state at 290 k, 1 bar, with a volumetric flow rate of 0.25 m°/s, and exits at 325 k, 0.95 bar. the flow area is 0.04 m2. assuming the ideal gas model with k = 1.4 for the air, determine (a) the velocity at the inlet and exit, each in m/s, and (c) the rate of heat transfer, in kw flow rate, in kg/s, (b) the mass kg 0.3