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Questions  >>  SAT  >>  Chemistry  >>  Atomic Structure
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Q)

Sodium street lamp gives off a characteristic yellow light of wave length $588\;nm$ calculate the energy mole (in KJ/mol) of these photons .

$\begin{array}{1 1} (a)\;8.04 \times 10^{2}\;KJ mol^{-1} \\ (b)\;3.04 \times 10^{2}\;KJ mol^{-1}\\ (c)\;2.04 \times 10^{2}\;KJ mol^{-1}\\(d)\;1.04 \times 10^{2}\;KJ mol^{-1}\end{array} $

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A)
Solution :
$E=N_0hv =N_0h \large\frac{c}{\lambda}$
$\qquad= \large\frac{6.02 \times 10^{23} \times 6.63 \times 10^{-34} \times 3 \times 10^{8}}{588 \times 10^{-9}}$
$\qquad= 2.04 \times 10^5\;J mol^{-1}$
$\qquad=2.04 \times 10^{2}\;KJ mol^{-1}$
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