Energy of one mole of photons of radiation whose frequency i... | Chemistry | SolveeIt

Question

Energy of one mole of photons of radiation whose frequency is $5\times 10^{14}\,Hz$ is

$199.51\,kJ\,mol^{-1}$

$189.51\,kJ\,mol^{-1}$

$198.51\,kJ\,mol^{-1}$

$188.51\,kJ\,mol^{-1}$

Answer

$199.51\,kJ\,mol^{-1}$

Explanation

Solution

$\because$ Energy of $1$ photon, $R=h v$
$\therefore$ Energy of $1$ mole of photon,
$E'=N_{A} h v$
$=6.022 \times 10^{23} \times 6.626 \times 10^{-34} \times 5 \times 10^{14}$
$=199.508 \times 10^{3} J\,mol ^{-1}$

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