In a factory, the following are the loads. Induction motors: 1000 hp 0.7 average power factor 0.85 average efficiency Lighting and heating load: 100 kW A 36 synchronous motor is installed to provide 300 hp to a new process. The synchronous motor operates at 92% efficiency. Determine the kVA rating of the synchronous motor if the overall factory power factor is to be raised to 0.95. Determine the power factor of the synchronous motor. Hint: Step 1) Convert the output power of induction motors to kW (1hp = 746 W). Step 2) Find the input active power of induction motors using the provided efficiency. Step 3) Find the corresponding S and Q for induction motors. Step 4) Convert the output power of synchronous motor from hp to kW and find the corresponding input active power using the efficiency. Step 5) Find the total input active power associated with the induction motors, lighting and heating, and synchronous motor. Step 6) Find the corresponding total S and total Q using the provided overall efficiency. Step 7) Find the required Q from the synchronous motor. Step 8) Find the S and PF of the synchronous motor.