1800 hours
Reasonable load range: 900 hours to 4500 hours
Calculation
10,000Wh × 90% usable efficiency ÷ (5W × 100% duty cycle) = 1800.00 hours.
What can change the result
Actual device wattage, battery age, ambient temperature, inverter standby draw, conversion losses, power-factor behavior and cycling frequency can all reduce or extend runtime.
Check output before connecting
The battery or UPS needs at least 10W continuous capability and about 12W surge capability. Watt-hours alone do not prove compatibility.