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Sagot :
The reaction has [tex]\Delta G[/tex] value of -296 kJ/mol, and the reaction is spontaneous. Hence, option A is correct.
The value of [tex]\Delta G[/tex] for the reaction is the change in the free energy. The [tex]\Delta G[/tex] for the reaction is calculated as:
[tex]\Delta G=\Delta H-T\Delta S[/tex]
Computation for [tex]\Delta G[/tex] of the reaction
The given reaction is:
[tex]\rm 2\;SO_2\;+\;O_2\;\to\;2\;SO_3[/tex]
The change in enthalpy and entropy is given by the difference in product and reactant.
Thus, the change in free energy is given as:
[tex]\Delta G=(\Delta H_{product}-\Delta H_{reactant})-T(\Delta S_{product}-\Delta S_{reactant})\\\\\Delta G=(2(\Delta H_{SO_3})-(2(\Delta H_{SO_2})\;+\;\Delta S_{O_2}))-T((2(\Delta S_{SO_3})-(2(\Delta S_{SO_2}))[/tex]
Substituting the values in the above equation at a temperature of 300 K.
[tex]\Delta G=(2(-396)-(2(-297)\;+\;(0)))-300\;(2(130.58)-(2(191.50)+(205)))\\\Delta G=(-792-(-1386))-300\;(261.16+588)\\\Delta G=-296\; \rm kJ/mol[/tex]
The negative value of [tex]\Delta G[/tex] represents the reaction to be spontaneous.
Thus, the reaction has [tex]\Delta G[/tex] value of -296 kJ/mol, and the reaction is spontaneous. Hence, option A is correct.
Learn more about free energy, here:
https://brainly.com/question/14143095
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