APFIVE The equation $$q = m * c * \Delta T$$ relates the amount of heat, $$q$$, added to a substance of mass $$m$$ and specific heat capacity $$c$$, to the resulting temperature change, $$\Delta T$$. The table below presents experimental data for a particular substance. Which of the following conclusions is best supported by these data?
| Mass (g) | Energy Added (J) | Temperature Change (°C) |
|---|---|---|
| 100 | 418.4 | 1 |
| 200 | 836.8 | 1 |
| 100 | 836.8 | 2 |
Since the temperature change varies inconsistently with energy and mass, the specific heat value cannot be considered constant.
The data indicate that the temperature change is independent of the mass and energy input, which contradicts the specific heat relationship.
For a constant specific heat, the temperature change increases proportionally with the energy added and decreases with increased mass.
Doubling the energy added will necessarily double the mass of the substance required to achieve the same temperature change.
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