Answer:
To determine the identity of the metal, you can use the specific heat formula:
\[ Q = mc\Delta T \]
where:
- \( Q \) is the heat energy absorbed (62.9 J),
- \( m \) is the mass of the sample (10.0 g),
- \( c \) is the specific heat capacity of the metal, and
- \( \Delta T \) is the change in temperature (14.0 °C).
You can rearrange the formula to solve for the specific heat capacity (\( c \)):
\[ c = \frac{Q}{m \Delta T} \]
Substitute the given values into the formula to find the specific heat capacity of the metal. Once you have the specific heat capacity, you can compare it to known values for different metals to identify the metal in question.
