Yes, connecting a 180Ah battery and a 100Ah battery in parallel can potentially run a refrigerator, depending on the power requirements and efficiency of the refrigerator.
When batteries are connected in parallel, their voltage remains the same, but their total capacity (Ah) adds up. In this case, the total capacity of the batteries would be 180Ah + 100Ah = 280Ah.
To determine if these batteries can run your refrigerator, you'll need to consider the power consumption of the refrigerator and the total capacity of the batteries.
Check the power rating of the refrigerator: Refrigerators typically have a power rating in watts (W) or kilowatts (kW). If the power rating is in watts, make sure to convert it to kilowatts by dividing by 1000 (1 kW = 1000 W).
Estimate the running time: Divide the total capacity of the batteries (280Ah) by the power consumption of the refrigerator (in kilowatts). This will give you an estimate of the running time in hours.
Example: Let's say the refrigerator has a power rating of 0.5 kW (500 W). The total capacity of the batteries is 280Ah.
Running time = 280Ah / 0.5 kW = 560 hours
Keep in mind that this is a rough estimate, and the actual running time might vary based on factors like battery efficiency, ambient temperature, and the condition of the batteries.
Additionally, it's essential to monitor the battery voltage regularly and not discharge the batteries beyond their recommended depth of discharge to avoid damage and prolong their lifespan.
If you are unsure about the technical aspects or want to ensure a safe and efficient setup, it's best to consult with a professional or an expert in the field of battery and power systems.