Students in an introductory physics lab are performing an experiment with a parallel$-$plate capacitor made of two circular aluminum plates, each $11$ cmcm in diameter, separated by $1\mathrm{.}0$ cmcm$.$

How much charge can be added to each of the plates before a spark jumps between the two plates? For such flat electrodes, assume that value of $3106$N$/$C$3106$N$/$C of the field causes a spark.