A 500 g sample of gold heated to 971.0 deg. C is placed in a calorimeter containing 220 g of water initially at 20.0 deg. C. If no heat is lost to the surrounding environment what will the final temperature of the water be? [HINT: At the end, the sample will be in thermal equilibrium with the water.]

mc change temp (gold) + mc change temp (water) = zero.

Change temp if Tf - Ti. Tf is your unknown. You'll have to look up the specific heats of water and gold.