An aluminum calorimeter with a mass of $100 \mathrm{~g}$ contains $250 \mathrm{~g}$ of water. The calorimeter and water are in thermal equilibrium at $10.0^{\circ} \mathrm{C}$. Two metallic blocks are placed into the water. One is a $50.0$ -g piece of copper at $80.0^{\circ} \mathrm{C} ;$ the other block has a mass of $70.0 \mathrm{~g}$ and is originally at a temperature of $100^{\circ} \mathrm{C}$. The entire system stabilizes at a final temperature of $20.0^{\circ} \mathrm{C}$. (a) Determine the specific heat of the unknown sample. (b) Guess the material of the unknown, using the data given in Table $20.1 .$