A photochemical reaction with proceeds only when exactly two photons are absorbed per…

CHEMISTRY · Subjective · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

A photochemical reaction with ΔG∘=+225 kJ mol−1\Delta G^\circ = +225\,\text{kJ mol}^{-1} proceeds only when exactly two photons are absorbed per mole of reaction. Assuming one absorbed photon directly supplies its entire energy to the reaction and the quantum yield is 1.01.0, calculate the longest wavelength of light (in nm) capable of driving the reaction at 298 K298\,\text{K}. (Planck's constant h=6.626×10−34 J sh = 6.626 \times 10^{-34}\,\text{J s}; speed of light c=3.00×108 m s−1c = 3.00 \times 10^8\,\text{m s}^{-1}; Avogadro's number Na=6.022×1023 mol−1N_a = 6.022 \times 10^{23}\,\text{mol}^{-1}.)

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