b. Find the rate equation of the overall reaction when each of the three reactions control individually. A+B \stackrel{k_{1}}{\longrightarrow} X+D \quad \text { slow } X+B \underset{k-2}{\stackrel{k_{2}}{\rightleftarrows}} Y+D \text {

rapid equilibrium } Y+B \stackrel{k_{3}}{\rightarrow} C+D A+B \underset{k_{-1}}{\stackrel{k_{1}}{\rightleftarrows}} X+D \text { rapid equilibrium } X+B \stackrel{k_{2}}{\longrightarrow} Y+D \quad \text { Slow } Y+B \stackrel{k_{3}}{\rightarrow} C+D A+B \stackrel{\text { i_ }}{\underset{k_{-1}}{\stackrel{k_{1}}{\longrightarrow}} X+D} \text { rapid equilibrium } X+B \underset{k-2}{\stackrel{k_{2}}{\rightleftarrows}} Y+D \text { rapid equilibrium } \boldsymbol{Y}+\boldsymbol{B} \stackrel{\boldsymbol{L}_{3}}{\longrightarrow} \boldsymbol{C}+\boldsymbol{D} \text { slow }