Answer
The temperature change is 57.5.
Work Step by Step
Use the equation $q=mc\Delta T$, where q represents the heat that flows into a system to increase its temperature, m represents the mass of the substance, 'c' represents the heat capacity of the substance and $\Delta T$ represents the change in temperature. We can rearrange and solve for the change in temperature, (i.e. $\Delta T$)
The heat capacity of gold is 0.129 which was found online.
$q=mc\Delta T$
$\Delta T = \frac{q}{mc}$
$\Delta T = \frac{89 J}{12 g \times 0.129} = 57.5$
Therefore, the temperature change is 57.5.
