NVAEasyJEE 2023Mole Concept

JEE Chemistry 2023 Question with Solution

The energy of one mole of photons of radiation of frequency 2×1012Hz2 \times 10^{12} \, \text{Hz} in J mol1\text{J mol}^{-1} is _____. (Nearest integer)

Given: h=6.626×1034Jsh = 6.626 \times 10^{-34} \, \text{Js}, NA=6.022×1023mol1N_A = 6.022 \times 10^{23} \, \text{mol}^{-1}.

Answer

Correct answer:150

Step-by-step solution

the solution unrelated to the question

Given: The question asks for the energy of one mole of photons of radiation of frequency 2×1012Hz2 \times 10^{12} \, \text{Hz} using h=6.626×1034Jsh = 6.626 \times 10^{-34} \, \text{Js} and NA=6.022×1023mol1N_A = 6.022 \times 10^{23} \, \text{mol}^{-1}.

Find: Energy in J mol1\text{J mol}^{-1}.

The solution is for a completely different question about molarity and strength in gm/L\text{gm/L}, and concludes with 150. It is unrelated to the photon-energy question, so a valid worked solution cannot be extracted from the solution.

The answer key states 798J mol1798 \, \text{J mol}^{-1}, but because the authoritative the solution is unrelated, the extracted answer cannot be resolved with certainty from the provided materials.

Common mistakes

  • Using energy of one photon, E=hνE = h\nu, but forgetting to multiply by Avogadro's number. That gives energy per photon, not energy per mole. After finding hνh\nu, multiply by NAN_A to obtain J mol1\text{J mol}^{-1}.

  • Confusing frequency with wavelength and applying E=hcλE = \frac{hc}{\lambda} without any wavelength data. Here the frequency is already given, so the direct relation is E=hνE = h\nu.

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