The reversible gas phase decomposition reaction,

$A2D$

is being carried out at a constant temperature and pressure of $67C$ and $202\mathrm{.}6$kPa respectively. The feed consists of pure A and the concentration equilibrium constant, $Kc,$ at $67C$ is $0\mathrm{.}1mol{L}^{-1}.$ Determine the CSTR volume necessary to achieve $80\%$ of the equilibrium conversion. The rate constant, $k_A$ is $0\mathrm{.}5s^{-1}$ and the volumetric flowrate to the reactor is $42L{s}^{-1}$