Question

If the same amount of heat is supplied to samples of 10.0 g each of aluminum, iron, and copper all at 15.0 °c, which sample would reach the highest temperature

Answer 1

The specific heat of aluminum, iron and copper is 0.897 J/g °C, 0.452 J/g °C and 0.385 J/g °C respectively.

The formula that relates specific heat capacity and change in temperature is as follows:

E=m×c×ΔT

Here, E is heat, m is mass, c is specific heat and ΔT is change in temperature.

On rearranging,

c=\frac{E}{m\times \Delta T}

Thus, change in temperature is inversely proportional to change in temperature. Change in temperature will be more for the element with low value of specific heat which is Cu in this case.

Since, the initial temperature is same for all the samples thus, Cu will reach the highest  temperature.

Answer 2

Copper will reach the highest temperature because copper has the least specific heat among given elements.

What is a specific heat capacity?

It is the measure of the amount of heat that is required to increase the temperature of 1 kg substance by 1°C.

It can be given as,

$Q=mc\Delta T$

Where,

$Q$ - heat absorbed

$m$ - the mass of the substance

$c$ -  specific heat

$\Delta T$ -  change in temperature.

From the equation, the specific heat and change in temperature are inversely proportional.  

Since the mass and initial temperature of the given elements is the same hence the change in temperature only depends upon the specific heat capacity.

Therefore, Copper will reach the highest temperature because copper has the least specific heat among given elements.

Learn more about specific heat:

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