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Answer :
In SI units, the needed power for the air conditioner under these operating circumstances is most closely 69.3 kW.
The power required for a Carnot engine operating as an air conditioner is given by the formula
[tex]P = \frac{Q_H}{\eta },[/tex]
where [tex]Q_H[/tex] is the rate of heat removed from the house, and η is the Carnot efficiency. The Carnot efficiency is given by the formula,
[tex]\eta =\frac{ 1 - T_C}{T_H}[/tex]
where [tex]T_C[/tex] is the cold reservoir temperature (293 K) and [tex]T_H[/tex]is the hot reservoir temperature (369 K).
Thus, the power required for the air conditioner is given by:
[tex]P = \frac{14 kJ/s }{(\frac{1 - 293 K}{369 K}) }\\=\frac{ 14 kJ/s }{ (1 - 0.798) }\\[/tex]
[tex]= \frac{14 kJ/s }{ 0.202 }\\P= 69.3 kW.[/tex]
Therefore, the power required for the air conditioner under these operating conditions, in SI units, is closest to 69.3 kW.
learn more about power refer:brainly.com/question/28794336
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