To determine the Gibbs free energy (ΔG) for the reaction ( C(s) + 2H_2(g) ) under standard conditions at 298 K, we would typically need the standard Gibbs free energies of formation for the reactants and products involved. In this specific case, since carbon and molecular hydrogen are both in their standard states, their standard Gibbs free energy of formation is defined as zero. Therefore, the ΔG of the reaction is also zero at standard conditions.
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