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By combining the nonconserved spin-flip dynamics driving ferromagneticordering with the conserved Kawasaki-exchange dynamics driving phasesegregation, we perform Monte Carlo simulations of the nearest neighbor Isingmodel. Such a set up mimics a system consisting of a binary mixture of\emph{isomers} which is simultaneously undergoing a segregation and an\emph{interconversion} reaction among themselves . Here, we study such a systemfollowing a quench from the high-temperature homogeneous phase to a temperaturebelow the demixing transition. We monitor the growth of domains of both the\emph{winner}, the \emph{isomer} which survives as the majority and the\emph{loser}, the \emph{isomer} that perishes. Our results show a stronginterplay of the two dynamics at early times leading to a growth of the averagedomain size of both the \emph{winner} and \emph{loser} as $\sim t^{1/7}$,slower than a purely phase-segregating system. At later times, eventually thedynamics becomes reaction dominated, and the \emph{winner} exhibits a $\simt^{1/2}$ growth, expected for a system with purely nonconserved dynamics. Onthe other hand, the \emph{loser} at first show a faster growth, albeit, slowerthan the \emph{winner}, and then starts to decay before it almost vanishes.Further, we estimate the time $\tau_s$ marking the crossover from theearly-time slow growth to the late-time reaction dominated faster growth. As afunction of the reaction probability $p_r$, we observe a power-law scaling$\tau_s \sim p_r^{-x}$, where $x\approx 1.05$, irrespective of temperature. Fora fixed value of $p_r$ too, $\tau_s$ appears to be independent of temperature.

Interplay of phase segregation and chemical reaction: Crossover and effect on growth laws