In 1993, the U.S. government instituted a requirement that all room air conditioners sold in the United States must have an energy efficiency ratio (EER) of 10 or higher. The EER is defined as the ratio of the cooling capacity of the air conditioner, measured in British thermal units per hour (Btu/h), to its electrical power requirement in watts.

In the 1970s, it was common to find room air conditioners with EERs of 5 or lower. State how the operating costs compare for 10,000 Btu/h air conditioners with EERs of 5.00 and 10.0. Assume each air conditioner operates for 1,500 hours during the summer in a city where electricity costs.

To compare the operating costs of 10000 Btu/h air conditioners with EERs of 5.00 and 10.0, we need to calculate the electrical power requirement and the cooling capacity for each air conditioner.

For an air conditioner with an EER of 5.00, the electrical power requirement can be calculated by dividing the cooling capacity (10000 Btu/h) by the EER:
Power Requirement = Cooling Capacity / EER

= 10000 Btu/h / 5.00

= 2000 watts
Similarly, for an air conditioner with an EER of 10.0, the electrical power requirement is:
Power Requirement = Cooling Capacity / EER

= 10000 Btu/h / 10.0

= 1000 watts

Next, we need to determine the operating costs for each air conditioner. Given that each air conditioner operates for 1500 hours during the summer, we can calculate the total energy consumed by multiplying the power requirement by the operating hours:
Energy Consumed = Power Requirement × Operating Hours

Assuming the electricity cost is $0.12 per kilowatt-hour, we convert the energy consumed from watts to kilowatts and multiply by the electricity cost:
Operating Costs = (Energy Consumed / 1000) × Electricity Cost

Using these calculations, you can find the operating costs for both air conditioners and compare them.

The operating costs for a 10000 Btu/h air conditioner with an EER of 5.00 are higher compared to an air conditioner with an EER of 10.0. This means that the air conditioner with an EER of 10.0 is more energy-efficient and cost-effective. By choosing an air conditioner with a higher EER, you can reduce your energy consumption and save money on your electricity bills in the long run.

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