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Calculate the pH at which the following ...

Calculate the pH at which the following reaction will be at equilibrium in basic medium :
`A_(2)(s) hArr A^(-)(aq) +AO_(3)^(-) (aq)`
When the equilibrium concentration at 300 K are:
`[A^(-)] = 0.1M, [AO_(3)^(-)] = 0.1M`
Given: `DeltaG_(f)^(@)` of `OH^(-)(aq) =- 150 kJ//"mole"`,
`DeltaG_(f)^(@) "of" H_(2)O(l) =- 233 kJ//"mole"`
`DeltaG_(f)^(@) "of" A^(-)(aq) =- 50 kJ//"mole"`,
`DeltaG_(f)^(@) "of" AO_(3)^(-) (aq) =- 123.5 kJ//"mole"`,
`R = (25)/(3) J "mole"^(-1) K^(-1), log_(e) 10 = 2.3`

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