A sheet of gold weighing 8.9 g and at a temperature of 19.1 C is placed flat on

Question

A sheet of gold weighing 8.9 g and at a temperature of 19.1 C is placed flat on a sheet of iron weighing 18.0 g and at a temperature of 52.6 C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings. ______ Celsius A sheet of gold weighing 8.9 g and at a temperature of 19.1 C is placed flat on a sheet of iron weighing 18.0 g and at a temperature of 52.6 C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings. ______ Celsius A sheet of gold weighing 8.9 g and at a temperature of 19.1 C is placed flat on a sheet of iron weighing 18.0 g and at a temperature of 52.6 C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings. ______ Celsius

Explanation / Answer

Q = mc?T

Q = heat energy (Joules, J), m = mass of a substance (kg)

c = specific heat (units J/kg?K), ? is a symbol meaning "the change in"

?T = change in temperature (Kelvins, K)

specific heat of gold = 0.129 J/g 0C

specific heat of iron = 0.45  J/g 0C

Heat gained by gold = heat lost by iron

8.9 x 0.129 x (Tf - 19.1 ) = 18 x 0.45 x (52.6 - Tf)

1.1481Tf - 21.92871 = 426.06 - 8.1 Tf

9.2481 Tf = 447.988

Tf = 48.44 Deg Cel

the final temperature of the combined metals is 48.44 Deg Cel

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