Two reactants $$A(g)$$ and $$X(g)$$ were taken $$1$$ mole each separately in closed containers. When equilibrium established according to given equations $$A(g)$$⇌$$2B(g)$$ ….$$.1X(g)$$⇌$$Y(g)+Z(g)$$……$$.2the$$ equilibrium constants ratio $$KP1$$:$$KP2$$ found to be $$16$$:$$1$$ . If the degree of dissociation of and $$A(g)$$ and $$X(g)are$$ same the total equilibrium pressures ratio of $$1$$ and $$2$$ is $$____$$?

Question

Two reactants $$A(g)$$ and $$X(g)$$ were taken $$1$$ mole each separately in closed containers. When equilibrium established according to given equations $$A(g)$$⇌$$2B(g)$$  ….$$.1X(g)$$⇌$$Y(g)+Z(g)$$……$$.2the$$ equilibrium constants ratio  $$KP1$$:$$KP2$$ found to be $$16$$:$$1$$ . If the degree of dissociation of and  $$A(g)$$ and $$X(g)are$$ same the total equilibrium pressures ratio of $$1$$ and $$2$$ is $$____$$?

Infinity Learn · Accepted Answer

$$A(g)$$⇌$$2B(g)$$ Initially                $$1$$ mole    $$0$$ At equilibrium       $$1-$$α     $$2$$α ∴$$KP1=2$$α$$1+$$α·$$P121-$$α$$1+$$α·$$P1$$            $$=4$$α$$2$$·$$P1(1-$$α$$)2$$ $$X(g)$$⇌$$Y(g)+Z(g)$$  Initially $$1$$ mole $$00$$ Atequilibrium $$1-$$ααα∴$$KP2=$$α$$1+$$α·$$P2$$α$$1+$$α·$$P21-$$α$$1+$$α$$+P2$$           $$=$$α$$2(1-$$α$$)2$$·$$P2KP1KP2=4P1P2161=4P1P2$$∴$$P1P2=41$$

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