Q51 / 180 · NEET 2013 (Karnataka) · Chemistry

According to law of photochemical equivalence the energy absorbed (in erg/ mole $)$ is given as $\left(h=6.62 \times 10^{-27}\right.$ ergs, $\mathrm{c}=3 \times 10^{10} \mathrm{~cm} \mathrm{~s}^{-1}, \mathrm{~N}_{\mathrm{A}}=6.02 \times 10^{-23}$ $\left.\mathrm{mol}^{-1}\right)$ :

  • Correct answer
    A
    $\frac{1.196 \times 10^8}{\lambda}$
  • B
    $\frac{2.859 \times 10^5}{\lambda}$
  • C
    $\frac{2.859 \times 10^{16}}{\lambda}$
  • D
    $\frac{1.196 \times 10^{16}}{\lambda}$

Solution

$$ \begin{aligned} & \mathrm{E}=\frac{h c \mathrm{~N}_{\Lambda}}{\lambda} \\ & =\frac{6.62 \times 10^{-27} \times 3 \times 10^{10} \times 6.02 \times 10^{23}}{\lambda} \\ & =\frac{1.196 \times 10^8}{\lambda} \mathrm{ergs} / \mathrm{mol} \end{aligned} $$

Hence, the correct answer is option: 'A'.

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