You are at a restaurant eating lunch with a friend. After the meal, your friend realizes they left their wallet at home. Your friend gives you a piece of silver with a mass of 0.15 kg as payment for their portion of the meal, which is certainly fair compensation if the metal is actually pure silver. When you get home, you begin to question whether or not you should remain friends. To test the piece of metal, you boil it in water until it reaches a temperature of 100°C. You also prepare a lead container of mass 1.5 kg and pour 0.65 kg of water into it, both at the room temperature of 20.5°C. The lead container and its contents are well isolated from their surroundings. You remove the piece of metal from the boiling water and place it in the water in the lead container. The entire “silver”-leadwater system reaches a final temperature of 21°C.
a)Find the specific heat, in units of J/(kg⋅°C), of the metal your friend gave you. Since the specific heat of silver is 235 J/(kg⋅°C) and the specific heat of lead is 130 J/(kg⋅°C), you can judge for yourself whether you are still friends.
