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Solution :

`Delta_(r ) G^(Theta) = -2.303 RT" log K"_( c)` <br> `K_(c ) = 2.10 xx 10^(7), R =8.314"J K"^(-1), T=25+273 =298K` <br> `:.Delta_(r )G^(Theta) = -2.303 xx 8.314 xx 298 log (2 xx 10^(7))` <br> `=-2.303 xx 8.314 xx 298[log 2 +7 log 10 ]` <br> `= -2.303 xx 8.314 xx 298 xx [0.3010+7]` <br> `= -41658.4J= -41.658kJ` <br> Since the value of `Delta_(r )G^(Theta)` is negative, the reaction is spontaneous in the forward direction.