Consider a piece of metal that is at 5 degrees C.If it is heated until it has twice the internal energy,its temperature will be

Question

Quizplus · Accepted Answer

The increase in internal energy of the metal is directly proportional to its temperature change (as long as there are no phase changes). Therefore, if the internal energy of the metal is doubled, its temperature will also double. 
ΔU = ncvΔT 
Let's assume mass and cv are constant, so 
ΔU = cvΔT 
If ΔU doubles, then ΔT must also double. 
ΔT = T final - T initial 
T final = T initial + ΔT 
T final = 5 + 5 = 10 degrees C.

Consider a Piece of Metal That Is at 5 Degrees