Question 7.49: Reconsider Prob. 7–48. Using EES (or other) software, determ......
Reconsider Prob. 7-48. Using EES (or other) software, determine the power input required by the air conditioner to cool the house as a function for airconditioner EER ratings in the range 9 to 16. Discuss your results and include representative costs of air-conditioning units in the EER rating range.
Problem 7-48 is reconsidered. The rate of power drawn by the air conditioner required to cool the house as a function for air conditioner EER ratings in the range 9 to 16 is to be investigated. Representative costs of air conditioning units in the EER rating range are to be included.
Analysis The problem is solved using EES, and the results are tabulated and plotted below.
“Input Data”
T_1=32 [C]
T_2=20 [C]
C_v = 0.72 [kJ/kg-C]
m_house=800 [kg]
DELTAtime=20 [min]
COP=EER/3.412
“Assuming no work done on the house and no heat energy added to the house
in the time period with no change in KE and PE, the first law applied to the house is:”
E_dot_in – E_dot_out = DELTAE_dot
E_dot_in = 0
E_dot_out = Q_dot_L
DELTAE_dot = m_house*DELTAu_house/DELTAtime
DELTAu_house = C_v*(T_2-T_1)
“Using the definition of the coefficient of performance of the A/C:”
W_dot_in = Q_dot_L/COP “kJ/min”*convert(‘kJ/min’,’kW’) “kW”
Q_dot_H= W_dot_in*convert(‘KW’,’kJ/min’) + Q_dot_L “kJ/min”
