The specific heat of a certain metal can be determined by measuring the temperature change that occurs when a piece of the metal is heated and then placed in an insulated container made of the same material and containing water. Suppose a piece of metal has a mass of 100 g and is initially at 100^oC. The container has a mass of 200 g and contains 500 g of water at an initial temperature of 20.0^oC. The final temperature is 21.4oC. What is the specific heat of the metal?