I have a system that is using 2.02kWh per day, and I'm trying to figure out its heat output, cooling needs, and cooling cost. I've worked it all out to the point of determining the amount of cooling needed (hopefully that's right), but I don't know how to convert that back to energy needed for the cooling unit, so I was hoping someone could give me some guidance.

$0.08 per kWh

2.02kWh per day * 365 = 737.3kWh per year

737.3kWh * 3,412.14 BTU/kWh = 2,515,772.024 BTU per year

2,515,772.024 / 12,000 BTU per ton = 209.65 tons of cooling per year (seems really high but no matter how I go about calculating it that's the number I get, so I just accepted it for the time being...any help here would be appreciated as well)

This is where I get really stuck. How do you convert tons to kWh for the cooling unit? I feel like it should be a very simple process of reversing these same steps, but I can't grasp it. Then one equation I found from Emerson Network Power to determine cost looked like this, though it appears to ignore actual usage...:

.747 kW per ton * 8760 hours per year * $0.08 per kWh / 0.9 cooling efficiency = $603.50 per ton per year

Does that makes sense? Is that just the cost for one ton of cooling, because at 209 tons of cooling that seems a little ridiculous ($140,000 to cool one system...I don't think so).

If someone could just help me put the pieces together to determine kWh from the cooling that would be great. If i can at least get that then determining cost is easy (multiply yearly kWh by $0.08...seems simpler than the Emerson equation, anyway).

Thanks.