Answer
The heat capacity of 5.00 g of gold is $0.640~J$
Work Step by Step
The heat capacity is the amount of heat required to raise the temperature by $1~ C^{\circ}$. We can find the heat capacity of 5.00 g of gold:
$Q = m~c~\Delta T$
$Q = (5.00\times 10^{-3}~kg)(128~J/kg~C^{\circ})(1~C^{\circ})$
$Q = 0.640~J$
The heat capacity of 5.00 g of gold is $0.640~J$.