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why does one cool faster

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Specific heat is defined as the amount of heat required to raise temperature of a body per unit mass per unit temperature.
 
Higher specific  heat means a body will require more heat to heat. If amount of heat transfer per second is fixed then it will take longer to heat a body per Kg per degree celsius
 
Similarly if the rate of heat loss is constant than it will take longer for a body of higher specific heat to cool.