For iso-electronic species more the positive change, smaller the ionic radii.
For iso-electronic species more negative change, bigger the ionic radii
Hence the order is $Mg ^{2+}\,<\, Na ^{+}\,<\, F ^{-}\,<\, O ^{2-}$
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If $T_1=2 T_2$ and $\left(\Delta G_2^{\Theta}-\Delta G_1^{\varphi}\right)=R T_2 \ln x$, then the value of $x$ is. . . . .
$\left[\Delta G_1^\theta\right.$ and $\Delta G_2^\theta$ are standard Gibb's free energy change for the reaction at temperatures $T_1$ and $T_2$, respectively.]
$Cu ^{2+}+ NH _{3} \stackrel{ K _{1}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)\right]^{2+}$
$\left[ Cu \left( NH _{3}\right)\right]^{2+}+ NH _{3} \stackrel{ K _{2}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)_{2}\right]^{2+}$
$\left[ Cu \left( NH _{3}\right)_{2}\right]^{2+}+ NH _{3} \stackrel{ K _{3}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)_{3}\right]^{2+}$
$\left[ Cu \left( NH _{3}\right)_{3}\right]^{2+}+ NH _{3} \stackrel{ K _{4}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)_{4}\right]^{2+}$
The value of stability constants $K _{1}, K _{2}, K _{3}$ and $K _{4}$ are $10^{4}, 1.58 \times 10^{3}, 5 \times 10^{2}$ and $10^{2}$ respectively. The overall equilibrium constants for dissociation of $\left[ Cu \left( NH _{3}\right)_{4}\right]^{2+}$ is $x \times 10^{-12}$ The value of $x$ is ...............
(Rounded off to the nearest integer)
