G A PWM signal with a frequency of 25 Hz is to be filtered with a low pass filter to to covert it into an analog signal. If we want to specify an equivalent analog value of 18% of the full analog scale, what should be the pulse width (on-time) of the PWM signal, in milliseconds? (Your answer should be accurate to within +/- 0.1 ms.)

Air (c-1.006 kj/kg. k, r-0.287 kj/kg. k) enters a nozzle steadily at 280 kpa and 77°c with a velocity of 50 m/s and exits at 85 kpa and 320 m/s. the heat losses from the nozzle to the surrounding medium at 20°c are estimated to be 3.2 kj/kg. determine (a) the exit temperature and (b) the total entropy change for this process. solve this problem using constant specific heats.