# Physics Easy 10 points ?

The specific heat capacity of aluminum is about twice that of iron. Consider two blocks of equal mass, one made of aluminum and the other one made of iron, initially in thermal equilibrium.

Heat is added to each block at the same constant rate until it reaches a temperature of 500 . Which of the following statements is true?

A. The iron takes less time than the aluminum to reach the final temperature.

B. The aluminum takes less time than the iron to reach the final temperature.

C. The two blocks take the same amount of time to reach the final temperature.

When the two materials have reached thermal equilibrium, the block of aluminum is cut in half and equal quantities of heat are added to the iron block and to each portion of the aluminum block. Which of the following statements is true?

A. The three blocks are no longer in thermal equilibrium; the iron block is warmer.

B. The three blocks are no longer in thermal equilibrium; both the aluminum blocks are warmer.

C. The blocks remain in thermal equilibrium.

Relevance

1)

A. The iron takes less time than the aluminum to reach the final temperature.

ΔQ/Δt = m*c*ΔT/Δt

LHS is the same for both; higher "c" means higher "Δt" for same "ΔT."

2) iron: ΔQ = m * c * ΔT

aluminum: ΔQ = (m/2) * 2c * ΔT

If the LHS is the same for both, then ΔT is the same for both.

C. The blocks remain in thermal equilibrium

Hope this helps!

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