1.

What is the equilibrium concentration of each of the substances in the equilibrium when the initial concentration of ICl was 0.78 M ? 2ICl_((g)) hArr I_(2(g)) + Cl_(2(g)) , K_c=0.14

Answer»

SOLUTION :`{:("Equilibrium reaction :", 2ICl_((g)) hArr , I_(2(g)) + , Cl_(2(g)), K_c=0.14),("Initial concentration:",0.78 M, 0,0),("Change in reaction :", -2x M , +X M, x M),("Concen. at equilibrium [M] :", (0.78-2x) , x, x):}`
This EXPRESSION of equilibrium constant `K_c` for this reaction
`K_c=([I_2][Cl_2])/([ICl]^2)=((x)(x))/((0.78-2x))`
`therefore 0.14=x^2/(0.78-2x)^2`
`therefore sqrt0.14 =x/(0.78-2x)`
`therefore` 0.3742(0.78-2x)=x
`therefore` 0.2918-0.7484 x= x
`therefore` 1.7484 x = 0.2918
`therefore x=0.2918/1.7484`=0.1669 M `approx` 1.67 M
So, at equilibrium [ICl] = 0.78-2x
=0.78-2(0.1669)
=0.78-0.3338=0.4462 M
At equilibrium `[I_2]=[Cl_2]` = x= 0.1669 M


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