Calculate the specific heat of an unknown metal if a 123 gram sample requires 8.8 kJ of heat to change from 16°C to 97°C.

Question

Quizplus · Accepted Answer

The specific heat (c) can be calculated using the formula $q = mc\Delta T$, where $q$ is the heat energy transferred, $m$ is the mass, $c$ is the specific heat, and $\Delta T$ is the change in temperature. Rearranging for $c$, we get $c = \frac{q}{m\Delta T}$. Substituting the given values: $c = \frac{8800\, \text{J}}{123\, \text{g} \times (97°C - 16°C)} = \frac{8800}{123 \times 81} = \frac{8800}{9963} \approx 0.88\, \text{J/g}•°C$.

Calculate the Specific Heat of an Unknown Metal If a 123