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An amount of mole of HI decomposes by the absorption of photons of wavelength 2500 Å. If one moleculAtomic Structure Chemistry Question

Question

An amount of $1.75 \times 10^{-4}$ mole of HI decomposes by the absorption of photons of wavelength 2500 Å. If one molecule is decomposed per absorbed photon, the total energy absorbed is ($N_A \times hc = 0.12$)

Answer: D

💡 Solution & Explanation

Number of photons absorbed = Number of molecules decomposed = $1.75 \times 10^{-4} \times N_A$. Total energy $E = n \frac{hc}{\lambda} = 1.75 \times 10^{-4} \times N_A \times \frac{hc}{2500 \times 10^{-10}} = 1.75 \times 10^{-4} \times \frac{0.12}{2.5 \times 10^{-7}} = 1.75 \times 10^{-4} \times 4.8 \times 10^5 = 1.75 \times 480 = 84$ J. Therefore, correct answer is D.

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