How Is Entropy Related to the Minimum Work Needed to Cool Water?

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This question buzz my head :cry: Plz help
A mass of water (mass m=5kg, specific heat capacity at constant pressure: Cp=4184j/kg*C) initially in thermal equilibrium with the atmosphere at 20 degree celsius, is cooled at constant pressure to 4 degree celsius by means of heat pumps operating between water & atmosphere. What is the minimum work required? :confused:
The hint for this question is that using the change in entropy, but how?
 
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what is the expression for constant pressure entropy change?