Answer
Please see the work below.
Work Step by Step
We know that
$PV=nRT$
This can be rearranged as:
$n=\frac{PV}{RT}$
We plug in the known values to obtain:
$n=\frac{95849\times 0.0078}{8.31\times 298}$
$n=0.302 \space mol$
From the given equation, we obtain:
Mole ratio ($Zn$:$H_2) =1:1$
Thus $mass=moles\times molar\space mass \space of Zn$
$mass=0.302\times 65.39=19.8g$
