Q8E
Question
Question: The coefficient of performance K = H/P is a dimensionless quantity. Its value is independent of the units used for H and P, as long as the same units, such as watts, are used for both quantities. However, it is common practice to express H in Btu/h and P in watts. When these mixed units are used, the ratio H/P is called the energy efficiency ratio (EER). If a room air conditioner has K = 3.0, what is its EER?
Step-by-Step Solution
VerifiedThe value coefficient of performance for \(K = 3\) is \(10.23\;{\rm{EER}}\).
The coefficient of performance, K = H/P
The unit of H is Btu/h and unit of P is watts.
The value of coefficient of performance, K = 3
The Btu is stand for the British thermal unit and it is defined as the heat required to increase the temperature of one pound water by one degree Fahrenheit
Conversion from to Joule is given as follows.
\(1\;Btu\; = \;1055.05\;J\)
The expression to calculate the energy efficiency ratio is given as follows.
\(EER = \frac{H}{P}\) …… (i)
Calculate the energy efficiency ratio.
Calculate the value of the coefficient of performance for K = 3
Hence the value coefficient of performance for is k = 3 is 10.23 EER.