A 25 g piece of an unknown metal alloy at 150°C is dropped into an insulated container with 200 g of ice. How do you calculate the specific heat capacity of the metal, given that 9.0 g of ice melted?
You never gave us the temperature of the ice, so I will assume it's approximately
Moreover, we'll need the enthalpy of fusion for water,
Let's figure out how much heat was used to melt that ice,
Moreover, let's assume that the metal only released that heat and equilibrated with the ice,
This is fairly reasonable, most metals' specific heats are between 0 and 1. I'm open to feedback if I made a mistake!