Two metals of equal mass with different specific heat capacities are subjected to the same amount of heat. which undergoes the smallest change in temperature, the one with the higher specific heat capacity or the one with the lower specific heat capacity?

The metal with higher specific heat capacity undergoes the smallest change in temperature

Explanation:

The specific heat capacity is the amount of heat necessary to elevated in 1 degree 1 kg of the substance. Its unity is J/gºC. We can calculate the heat that changes the temperature of a substance by the equation:

Q = mcΔT

Where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the change in the temperature. So, let's compare the two metals, which the same heat and the same mass, let's divide the first one (higher specific heat capacity) by the other:

Q1 = Q2, and m1=m2, so:

c1ΔT1 = c2ΔT2

c1/c2 = ΔT2/ΔT1

So, if c1 > c2, ΔT2 > ΔT1 because of the proportionality. Then, the metal with higher specific heat capacity undergoes the smallest change in temperature.

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