An irregular lump of an unknown metal has a measured density of 5.63 g/mL. The metal is heated to a temperature of 167 °C and placed in a graduated cylinder filled with 25.0 mL of water at 25.0 °C. After the system has reached thermal equilibrium, the volume in the cylinder is read at 31.9 mL, and the temperature is recorded as 39.5 °C. What is the specific heat of the unknown metal sample? Assume no heat is lost to the surroundings.
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