A 57.07 g sample of a substance is initially at 24.3°C. After absorbing of 2911 J of heat, the temperature of the substance is 116.9 CWhat is the specific heat (SH) of the substance?

Approximately .

Explanation:

The specific heat of a material is the amount of energy required to increase unit mass (one gram) of this material by unit temperature (one degree Celsius.)

Calculate the increase in the temperature of this sample:

.

The energy that this sample absorbed should be proportional the increase in its temperature (assuming that no phase change is involved.)

It took of energy to raise the temperature of this sample by . Therefore, raising the temperature of this sample by (unit temperature) would take only as much energy. That corresponds to approximately of energy.

On the other hand, the energy required to raise the temperature of this material by is proportional to the mass of the sample (also assuming no phase change.)

It took approximately of energy to raise the temperature of of this material by . Therefore, it would take only as much energy to raise the temperature of (unit mass) of this material by . That corresponds to approximately of energy.

In other words, it takes approximately to raise (unit mass) of this material by . Therefore, by definition, the specific heat of this material would be approximately .

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