100 g of unknown material is heated to 80 C and then dropped into 50g of water a

Question

100 g of unknown material is heated to 80 C and then dropped into 50g of water at 20 C in an insulated container. The water temperature rises within a few seconds to 38 C. a) what is the final temperature of the metal? b) find the specific heat of the metal 100 g of unknown material is heated to 80 C and then dropped into 50g of water at 20 C in an insulated container. The water temperature rises within a few seconds to 38 C. a) what is the final temperature of the metal? b) find the specific heat of the metal 100 g of unknown material is heated to 80 C and then dropped into 50g of water at 20 C in an insulated container. The water temperature rises within a few seconds to 38 C. a) what is the final temperature of the metal? b) find the specific heat of the metal

Explanation / Answer

a) Water and the metal will have same temperature at the equilibrium

thus Tf = 38 C

b) Use equation

Heat lost by metal + Heat gained by the water =0

mm*cm*T + mw*cw*T = 0

0.100* cm*(38-80) + 0.050*4181*(38-20) = 0     =>   cm=895.93 J/Kg.C

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