Specific Heat Capacity: Mass, Temp, Time Factors

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laxgaels17
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Is it possible to find specific heat capacity given mass, initial and final temperature, and time? The liquid in question has not been given
 
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If you know the power input and the rate of heat loss to the surroundings
 
As mgb_phys stated you need to know the heat transfer in/out of the mass or the boundary worked performed on/by it. If the mass is compressible, you may also need to know the initial and final pressures as well.