Calculate ΔG_rxn at 298 K under the conditions shown below for the following reaction. SO₃(g) + H₂O(g) → H₂SO₄(l) ΔG°= -90.5 kJ
P(SO₃) = 0.20 atm,P(H₂O) = 0.88 atm

Question

Calculate ΔG_rxn at 298 K under the conditions shown below for the following reaction. SO₃(g)+ H₂O(g)→ H₂SO₄(l)ΔG°= -90.5 kJ P(SO₃)= 0.20 atm,P(H₂O)= 0.88 atm

Quizplus · Accepted Answer

ΔG = ΔG° + RTlnQ where Q is the reaction quotient.
First, we need to determine the value of Q. Since the reaction involves gases, we should use the formula Q = (P(product)) /(P(reactant)). 
Q = [(1 bar)/(0.20 bar)] x [(0.88 bar)/(1 bar)] = 4.4
Now, we can substitute the values in the formula for ΔG:
ΔG = -90.5 kJ/mol + (8.314 J/mol.K x 298 K x ln 4.4) = -86.2 kJ/mol
Therefore, the answer is A, -86.2 kJ.

Calculate ΔGrxn at 298 K Under the Conditions Shown Below

Calculate ΔG_rxn at 298 K Under the Conditions Shown Below