Two solids dissociate as follows  $\begin{array}{l}{A}_{\left(s\right)}\rightleftharpoons B_{\left(g\right)}+C_{\left(g\right)};K{p}_1=\text{'}x\text{'}{\text{ atm}}^2\\ D_{\left(s\right)}\rightleftharpoons C_{\left(g\right)}+E_{\left(g\right)};K{p}_2=\text{'}y\text{'}{\text{ atm}}^2\end{array}$

The total pressure when the solids dissociate simultaneously is?

 

$\begin{array}{l}A\left(s\right)\rightleftharpoons \underset{P_1}{B\left(g\right)}+\underset{P_1+P_2}{C\left(g\right)}{K}_{P_1}=xat{m}^2\\ D\left(s\right)\rightleftharpoons \underset{P_1+P_2}{C\left(g\right)}+\underset{P_2}{E\left(g\right)}{K}_{P_2}=yat{m}^2\\ k_{P_1}=x=P_B.P_C,Similary,k_{P_2}=y=P_C.P_E\\ x=P_1\left(P_1+P_2\right) \mathrm{....}\left(1\right)\\ y=P_2\left(P_1+P_2\right) \mathrm{.....}\left(2\right)\\ Adding\left(1\right)and\left(2\right)\\ x+y={\left(P_1+P_2\right)}^2\\ or{P}_1+P_2=\sqrt{x+y }\mathrm{....}\left(3\right)\\ Totalpressure{P}_t=P_B+P_C+P_E=P_1+P_1+P_2+P_2=2\left(P_1+P_2\right)\\ P_t=2\sqrt{x+y}atm\left(from3\right)\end{array}$