Answer
Please see the work below.
Work Step by Step
We know that
$V=\frac{nRT}{P}$
We plug in the known value to obtain:
$V=\frac{0.41502\times 0.08206\times 500}{15.00}=1.1352L$
We also know that
$d=\frac{mass}{volume}$
$d=\frac{10.0g}{1.1352L}=8.808\frac{g}{L}$
