Answer
$36\ g\ Au $
Work Step by Step
1. Use Avogadro's number and the molar mass of gold as conversion factors in order to determine the number of grams of gold.
2. $1.1\times10^{23}\ atoms\ Au\times\frac{1\ mol\ Au}{6.022\times 10^{23}\ atoms\ Au}\times\frac{196.96\ g \ Au}{1\ mol\ Au} = 36\ g\ Au $