Question

if the same amount of heat is added to 50.0 g samples of each of the metals, which are all at the same temperature, which metal will reach the highest temperature?

Answer 1

The metal which will reach the highest temperature is the metal with the lowest specific heat capacity.

What is the amount of heat added to each metal?

The amount of heat Q = mcΔT where

• m = mass of metal
• c = specific heat capacity of mateal and
• ΔT = temperature change

Temperature change of the metal

Making ΔT subject of the formula, we have

ΔT = Q/mc

Given that Q and m are the same for each metal,

ΔT ∝ 1/c

We see that the temperature change is inversely proportional to the specific heat capacity.

Since the metals are at the same temperature, the metal which will reach the highest temperature is the metal with the lowest specific heat capacity.

So, the metal which will reach the highest temperature is the metal with the lowest specific heat capacity.

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