Answer to Question #245680 in Electricity and Magnetism for bravo

Question

512 g of an unknown metal at a temperature of 15^oC is dropped into a 100 g aluminum container holding 325 g of water at 98^oC. A short time later, the container of water and metal stabilizes at a new temperature of 78^oC. Identify the metal

Answer 1

Heat gained by metal=heat lost by aluminium+water

$0.512 \times c \times (78-15)=0.1 \times 910 \times (98-78)+0.325\times 4192 \times (98-78) \\ c=900\; J/kg K$

The metal is probably Aluminium.