A Basic Oxygen Furnace operator, at the end of oxygen blow, measures the dissolved oxygen content in the steel as 0.03 wt.% and the steel temperature as 1800 K. The carbon content [C] in the steel is _______ wt.% (round off to two decimal places).
Assume:
1) Equilibrium between dissolved carbon [C], dissolved oxygen [O], and CO (gas) at 1 atmosphere.
2) Henry's law is valid for both [C] and [O]
Given:
[C]₁ wt.% Henrian Std. State + [O]₁ wt.% Henrian Std. State → (CO)₁ atm Std. State
ΔG° = -19840 - 40.65 T J
R = 8.314 J⋅mol⁻¹⋅K⁻¹