A metallic block of mass M is brought to a temperature T₀ and plunged into a calorimeter filled with a mass M of water. The system consisting of the metallic block and the water container is considered as isolated. In this process, the water temperature rises from Ti to Tf, the equilibrium temperature. The specific heat of the water per unit mass is c*M. Determine the specific heat per unit mass of the metal c*M in the temperature range used in this experiment. Consider that the water container is made of a material with a negligible specific heat. Numerical Application:

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M = 0.5 kg, M' = 1 kg, To K-¹. = 120°C, T, = 16°C, T, = 20°C and CM = 4187 Jkg