Answer:
[tex]\triangle G = -911.296 \ kJ[/tex]
Explanation:
ΔG = ΔH-TΔS
Where ΔH = -176 kJ = -176000 J , T = 25°C + 273 = 298 K , ΔS = -284.8 JK⁻¹
=> [tex]\triangle G =-176000 - (298)(-284.8)[/tex]
=> [tex]\triangle G = -176000+84870.4[/tex]
=> [tex]\triangle G = -91129.6 \ J[/tex]
=> [tex]\triangle G = -911.296\ kJ[/tex]
Since the value is negative, the reaction is spontaneous under standard conditions at 298 K and the reactants have more free energy than the products.