A refrigeration cycle driven by an electric motor must maintain a computer laboratory at 180C when the outside temperature is 300C. The thermal load consists of heat transfers entering through the walls and roof of the laboratory at a rate of 75,000 kJ/h and from the computers, lighting, and occupants at a rate of 15,000 kJ/h. (a) Determine the minimum theoretical power required by the electric motor, in kW, and the corresponding coefficient of performance. (b) If the actual power required by the motor for this duty is 8.3 kW, determine the coefficient of performance. (c) If the given temperature and thermal load data are observed for a total of 100 hours and electricity costs 13 cents per kW*h, dtermine the cost, in $, over that period for each of case (a) and (b).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A refrigeration cycle driven by an electric motor
must maintain a computer laboratory at 180C
when the outside temperature is 300C. The
thermal load consists of heat transfers entering
through the walls and roof of the laboratory at a
rate of 75,000 kJ/h and from the computers,
lighting, and occupants at a rate of 15,000 kJ/h.
(a) Determine the minimum theoretical power
required by the electric motor, in kW, and the
corresponding coefficient of performance.
(b) If the actual power required by the motor for
this duty is 8.3 kW, determine the coefficient of
performance.
(c) If the given temperature and thermal load
data are observed for a total of 100 hours and
electricity costs 13 cents per kW*h, dtermine the
cost, in $, over that period for each of case (a)
and (b).
Answers: a) 1.03 kW; b) 3.01%; c) $13.40 for (a) and
$107.90 fof (b) (Please show ALL work. Thanks)
Transcribed Image Text:A refrigeration cycle driven by an electric motor must maintain a computer laboratory at 180C when the outside temperature is 300C. The thermal load consists of heat transfers entering through the walls and roof of the laboratory at a rate of 75,000 kJ/h and from the computers, lighting, and occupants at a rate of 15,000 kJ/h. (a) Determine the minimum theoretical power required by the electric motor, in kW, and the corresponding coefficient of performance. (b) If the actual power required by the motor for this duty is 8.3 kW, determine the coefficient of performance. (c) If the given temperature and thermal load data are observed for a total of 100 hours and electricity costs 13 cents per kW*h, dtermine the cost, in $, over that period for each of case (a) and (b). Answers: a) 1.03 kW; b) 3.01%; c) $13.40 for (a) and $107.90 fof (b) (Please show ALL work. Thanks)
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