Two metals of equal mass with different heat capacities are subjected to the sam

Question

Two metals of equal mass with different heat capacities are subjected to the same amount of heat. Which undergoes the smaller change in temperature (You must explain/justify your answer)?

a)   The metal with the higher heat capacity undergoes the smaller change in temperature.

b)   The metal with the lower heat capacity undergoes the smaller change in temperature.

c)   Both undergo the same change in temperature.

d)   You need to know the initial temperatures of the metals.

e)   You need to know which metals you have.

Explanation / Answer

Formula:

Heat amount (q) = mass of metal (m) x heat capacity of metal (C) x temperature change (delta T).

Delta T = q / ( m x C)

So, the change in temperature is inversely proportional to the heat capacity of the metal. So, the metal with higher heat capacity undergoes smaller change in temperature.

Answer: a)   The metal with the higher heat capacity undergoes the smaller change in temperature.

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