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  • For the reaction 2 A(g) plus B(g) gives 2D(g) delta U equals minus 10.5 kJ and delta S equals 44.1 JK raised to minus 1 . Calculate delta G for the reaction, and predict whether the reaction may occur spontaneously.

6.19   For the reaction
           2 A (g) + B ( g ) \rightarrow 2 D ( g)
           \Delta U ^ \ominus = -10.5 KJ \: \: and \: \: \Delta S ^\ominus = - 44.1 JK^{-1}
          Calculate \Delta G ^ \ominus  for the reaction, and predict whether the reaction may occur spontaneously.

Answers (1)

best_answer

Given reaction is 2 A (g) + B ( g ) \rightarrow 2 D ( g)

We know that, \Delta G^o = \Delta H^o-T\Delta S^o
and \Delta H^o = \Delta U^o+\Delta n_{g}RT
here \Delta n_{g}= 2 - (3) = -1

and  \Delta U ^ \ominus = -10.5 KJ \: \: and \: \: \Delta S ^\ominus = - 44.1 JK^{-1}

substituting the given values in equations-
\Delta G = (-10.5+8.314\times 10^{-3}\times 298)-298(-44.1)
          \\\Delta G = (-12.98 +13.14 )kJ\\ \Delta G= +0.16 kJ

Hence the reaction will not occur spontaneously because the \Delta G ^ \ominus value is positive for this reaction.

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manish

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