100 kVA load operates at 0.75 lagging power factor when connected to 230V, 60Hz AC source. The power factor is to be improved to 0.97 lagging. (a) The power factor is to be corrected by a capacitor bank. However, the capacitors are loosely connected and take 50 kW when connected to a 230V, 60Hz AC source. What is the kVAR rating of the capacitor bank? Find the capacitance of the capacitor.