Enthalpy change is the difference between the enthalpy of the products and the reactant in the reaction. delta G for the reaction is -8.19 kJ and delta S is -151.5 J/K.
What is a spontaneous reaction?
A spontaneous reaction is a that favors product formation. It is estimated by the negative sign of the delta H and the positive sign of [tex]\rm -T\rm \Delta S.[/tex]
[tex]\rm \Delta G[/tex] for the first reaction is calculated as:
[tex]\begin{aligned} \rm \Delta G &= \rm \Delta H - T\Delta S \\\\&= 852000 - (330)(2557)\\\\&= 8190 \;\rm J\end{aligned}[/tex]
Joules are converted to kilojoules and the value of delta G is - 8.19 KJ. Hence the reaction is spontaneous.
For the second reaction delta S is calculated as:
[tex]\begin{aligned} \rm \Delta H &= \rm T\Delta S + \Delta G ^{\circ}\\\\\rm \Delta S &= \rm \dfrac{\Delta H}{T}\\\\&= \dfrac{-50000}{330}\\\\&= -151.5 \;\rm J/K\end{aligned}[/tex]
Since in the reaction the value of delta G is zero the reaction will not be spontaneous.
Therefore, the first reaction is spontaneous, while the second reaction is not spontaneous.
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