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$\large\;A\; \rightleftharpoons \;B,\;K = 8 - - - (I)\$

$\large B\; \rightleftharpoons \;C,\;K = 10 - - - (II)\$

$\large C\; \rightleftharpoons \;D,\;K = 0.01 - - - (III)\$

The correct order of $∆^{0} G$ values of the processes at the same temperature is

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III > I = II

II > I > III

I > III > II

III > I > II

answer is A.

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Detailed Solution

$\Delta G_1^0=-2.303RT\;log8\\\\\Delta G_2^0=-2.303RT\;log10\\\\ \Delta G_3^0=-2.303RT\;log0.01$

$\therefore III>I>II$

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