An ideal refrigerator utilizes a Carnot cycle operating between 0 degrees Celciu

Question

An ideal refrigerator utilizes a Carnot cycle operating between 0 degrees Celcius and 18 degrees Celcius.
PART A
To turn 11 kg of liquid water at 0 degrees Celcius into 11 kg of ice at 0 degrees Celcius, how much heat is exhausted into the room.
Express your answer to two significant figures and include the appropriate units.

PART B
How much energy must be supplied to the refrigerator?
Express your answer to two significant figures and include the appropriate units


Please show work, and solve in detail explaining. Thank you...
An ideal refrigerator utilizes a Carnot cycle operating between 0 degrees Celcius and 18 degrees Celcius.
PART A
To turn 11 kg of liquid water at 0 degrees Celcius into 11 kg of ice at 0 degrees Celcius, how much heat is exhausted into the room.
Express your answer to two significant figures and include the appropriate units.

PART B
How much energy must be supplied to the refrigerator?
Express your answer to two significant figures and include the appropriate units


Please show work, and solve in detail explaining. Thank you...
How much energy must be supplied to the refrigerator?
Express your answer to two significant figures and include the appropriate units


Please show work, and solve in detail explaining. Thank you...

Explanation / Answer

first, the COP of the refrigerator is cold temp / (hot temp - cold temp) = 273/18 = 15.167..... then, the heat that must be removed to freeze the water is Q = mL = 11 * 333000 = 3663000 Joules.... the work input to the refrigerator is work = Qc / COP = 3663000/15.167 = 241517 Joules.... finally, the heat exhausted to the room is work + Qc = 241517 + 3663000 = 3.905 x 10^6 Joules

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