A piece of metal weighing 59. 047 g was heated to 100. 0 °c and then put it into 100. 0 ml of water (initially at 23. 7 °c). The metal and water were allowed to come to an equilibrium temperature, determined to be 27. 8 °c. Assuming no heat lost to the environment, calculate the specific heat of the metal. (hint: first calculate the heat absorbed by the water then use this value for "q" to determine the specific heat of the metal in a second calculation).