Answer
53.4 g
Work Step by Step
Using ideal gas law:
$n=\frac{PV}{RT}$
$=\frac{(776\, mmHg\times\frac{1\,atm}{760\, mmHg})(20.0\,L)}{(0.08206\,L\,atm\,K^{-1}mol^{-1})(30.0+273)K}$
$=0.8213\,mol$
Grams of $NaN_{3}=0.8213\,mol\times\frac{65.0\,g\,NaN_{3}}{1\,mol}$
$=53.4\,g\,NaN_{3}$