In 1993, the U.S. government required 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.

(a) Convert the EER of 10.0 to dimensionless form, using the conversion 1 Btu = 1055 J.

1. Convert the cooling capacity from Btu/h to J/h: 10.0 EER * 1055 J/Btu = 10550 J/h. 2. Divide the cooling capacity in J/h by the electrical power requirement in watts: 10550 J/h / (1 watt) = 10550.

To convert the EER of 10.0 to dimensionless form, we need to express the cooling capacity and electrical power requirement in consistent units.

The cooling capacity is measured in British thermal units per hour (Btu/h), and we'll convert it to joules per second (J/s). The conversion factor is 1 Btu = 1055 J.

The electrical power requirement is measured in watts (W), which is already in the desired unit.

So, let's convert the cooling capacity from Btu/h to J/s:

10.0 EER = (10.0 Btu/h) × (1055 J/1 Btu) × (1/3600 h)

Simplifying the conversion

10.0 EER = 293.06 J/s

Now, to express the EER in dimensionless form, we divide the cooling capacity by the electrical power requirement:

Dimensionless EER = (293.06 J/s) / (1 W)

Dimensionless EER = 293.06

Therefore, the dimensionless form of an EER of 10.0 is approximately 293.06.

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