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Q.

The equilibrium constants for the following reactions

\large \large Z{n_{(s)}} + C{u^{2 + }}_{\left( {aq} \right)}\, \rightleftharpoons \,Z{n^{2 + }}_{\left( {aq} \right)}\, + \,C{u_{\left( s \right)}}
\large C{u_{\left( s \right)}} + \,2Ag_{\left( {aq} \right)}^ + \, \rightleftharpoons \,Cu_{\left( {aq} \right)}^{2 + }\, + \,2A{g_{\left( s \right)}}

  are K1 and K2 respectively, equilibrium constant for the following reaction will be

\large Z{n_{\left( s \right)}} + \,2Ag_{\left( {aq} \right)}^ + \, \rightleftharpoons\,Zn_{\left( {aq} \right)}^{ + 2}\, + \,2A{g_{\left( s \right)}}

 

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a

K1 + K2

b

K1K2

c

K1 ×K2

d

K1- K2

answer is B.

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Detailed Solution

Given

\large Zn\left( s \right) + C{u^{ + 2}}\left( {aq} \right) \rightleftharpoons Z{n^{ + 2}}\left( {aq} \right) + Cu\left( s \right);{K_C} = {K_1} \to \left( 1 \right)
\large Cu\left( s \right) + 2A{g^ + }\left( {aq} \right) \rightleftharpoons C{u^ {+2} }\left( {aq} \right) + 2Ag\left( s \right);{K_C} = {K_2} \to \left( 2 \right)

Required equation

\large Zn\left( s \right) + 2A{g^ + }\left( {aq} \right) \rightleftharpoons Z{n^ {+2} }\left( {aq} \right) + 2Ag\left( s \right);{K_C} = {K_3}

Equation (1) + Equation (2) = Required equation( when a new equillibrium reaction is obtained by adding any two equilllibrium reactions 

the equillibrium constant is product of equillibrium constants of two equillibrium reactions added.)

\large \boxed{{K_1}{K_2} = {K_3}}
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The equilibrium constants for the following reactions  are K1 and K2 respectively, equilibrium constant for the following reaction will be