A piece of iron (C=0.449 J/g degree C) and a piece of gold (C=0.128 J/g degree C

Question

A piece of iron (C=0.449 J/g degree C) and a piece of gold (C=0.128 J/g degree C) have identical masses. If the iron has an initial temperature of 498 K and the gold has an initial temperature of 298 K, which of the following statements is TRUE of the outcome when the two metals are placed in contact with one another? Assume no heat is lost to the surroundings. A) Since the two metals have the same mass, the final temperature of the two metals will be 398 K, exactly half way in between the two initial temperatures. B) Since the two metals have the same mass, but the specific heat capacity of gold is mu Ch smaller than that of iron, the final temperature of the two metals will be closer to 298 K than to 498 K. C) Since the two metals have the same mass, the thermal energy contained in the iron and gold after reaching thermal equilibrium will be the same. D) Since the two metals have the same mass, but the specific heat capacity of iron is mu Ch greater than that of gold, the final temperature of the two metals will be closer to 498 K than to 298 K. E) None of the above are true.

Explanation / Answer

iron = 498 K

gold = 298 K

a)

false, it can't be halfway, since heat tranfer will be unequal due to specific heat capacities

b)

It should be nearest to the metal with lower Cp, therefore T = 498 K nearest

c)

False, thermal energy for the higher specific heat is + higher T will be higher,

d)

T must go to the nearest temperature of the iron, which is T = 498K

choose D

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