Steel wool is placed inside a cylinder filled with molecular oxygen O₂, considered as an ideal gas. A piston ensures a constant pressure of the gas. The steel wool reacts with the molecular oxygen to form iron rust F_e2^O₃The reaction is slow, so that the gas remains at ambient temperature T₀. Determine the heat Q_if, the work W_if and the internal energy variation ΔU_if in terms of the enthalpy of reaction ΔH_if for a reaction involving two moles of iron. Numerical Application:

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3 2 Fe + 2 0₂ 2 Fe + O₂ → Fe₂O3