Two solids dissociate as follows A ( s ) B ( g ) + C ( g ); K_ p_1 = x ,at m^2 D ( s ) C ( g ) + E ( g ); K_ p_2 = y ,at m^2 The total pressure when both the solids dissociate simultaneously is

Two solids dissociate as follows A ( s ) B ( g ) + C ( g ); K_ p_…

MCQ

Two solids dissociate as follows

$A\left( s \right) \rightleftharpoons B\left( g \right) + C\left( g \right);{K_{{p_1}}} = x\,at{m^2}$

$D\left( s \right) \rightleftharpoons C\left( g \right) + E\left( g \right);{K_{{p_2}}} = y\,at{m^2}$

The total pressure when both the solids dissociate simultaneously is

✓

Correct option: C.

$(x + y)\, atm$

c
$A(s) \leftrightarrow \mathop {B(g)}\limits_{{P_1}} + \mathop {C(g)}\limits_{{P_1} + {P_2}} \,{K_{{P_1}}} = x\,at{m^2}$

$D(s) \leftrightarrow \mathop {C(g)}\limits_{{P_1} + {P_2}} + \mathop {E(g)}\limits_{{P_2}} \,{K_{{P_2}}} = y\,at{m^2}$

${K_{{P_1}}} = {P_1}({P_1} + {P_2})$

${K_{{P_2}}} = {P_2}({P_1} + {P_2})$

${K_{{P_1}}} + {K_{{P_2}}} = {({P_1} + {P_2})^2}$

$x + y{({P_1} + {P_2})^2}$

${P_1} + {P_2} = \sqrt {x + y} $

$2({P_1} + {P_2}) = \sqrt {x + y} $

${P_{Total}} = {P_B} + {P_C} + {P_E} = 2({P_1} + {P_2}) = 2\sqrt {x + y} $

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