Final answer:
The output kW of a 5000 kVA transformer with a power factor of 80% is 4000 kW.
Step-by-step explanation:
The output kW of a 5000 kVA transformer feeding a load that has a power factor of 80% is calculated using the formula: real power (P) = apparent power (S) × power factor (PF). Here, the apparent power (S) is 5000 kVA and the power factor (PF) is 0.8. Therefore, the real power or active power in kW is given by:
P = S × PF = 5000 kVA × 0.8 = 4000 kW.
So the output kW is 4000 kW.