A 12.9 gram sample of an unknown metal at 26.5°C is placed in a Styrofoam cup containing 50.0 grams of water at 88.6°C. The water cools down and the metal warms up until thermal equilibrium is achieved at 87.1°C. A 10 percent of heat lost by water is transferred through the cup determine the specific heat capacity of the unknown metal. The specific heat capacity of water is 4.18 J/g/°C.