Comparing cost efficiency of two A/C units based on COP

Consider a building whose annual air-conditioning load is estimated to be 120,000 kWh in an area where the unit cost of electricity is $.10/kWh. Two air conditioners are considered for the building.

Air conditioner "A" has a seasonal average COP of 3.2 and cost $5500.00 to purchase and install.

Air Conditioner "B" has a seasonal average COP of 5.0 and cost $7000.00 to purchase and install.

All else being equal, determine which air conditioner is a better buy.

Solution Preview

The COP is given by:

COP = Q/W

Where Q is the heat removed, while W is the work used by the AC unit.

Now, the AC load (heat to be removed) is 120,000 kWh per year. This means that an AC with COP of 1 ...

Solution Summary

The solution compares cost efficiency of two A/C units based on COP. The comparison allows to determine which air conditioner is a better buy.

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