A homogeneous liquid phase reaction A $-->2$B has a rate at $200$oC of $-$ra $=0\mathrm{.}01$Ca$^0\mathrm{.}5[$mol$/$L$*$sec$].$ Find the time for ninety percent conversion of a $2$ mol$/$L A in a batch reactor of $1$ L operating at $200$oC and $1$ atm.