Energy of one mole of photons of radiation whose frequency is 5× 1014 Hz is

Question

Energy of one mole of photons of radiation whose frequency is 5× 1014 Hz is (A)  199.51 kJ mol-1  (B)  189.51 kJ mol-1  (C)  198.51 kJ mol-1  (D)  188.51 kJ mol-1

Tardigrade Admin · Accepted Answer

∵ Energy of 1 photon, R=h v ∴ Energy of 1 mole of photon, E'=NA h v =6.022 × 1023 × 6.626 × 10-34 × 5 × 1014 =199.508 × 103 J mol -1

Q. Energy of one mole of photons of radiation whose frequency is $5 \times 1 0^{14} Hz$ is

$199.51 k J m o l^{- 1}$

$189.51 k J m o l^{- 1}$

$198.51 k J m o l^{- 1}$

$188.51 k J m o l^{- 1}$

$∵$ Energy of $1$ photon, $R = h v$
$∴$ Energy of $1$ mole of photon,
$E^{'} = N_{A} h v$
$= 6.022 \times 1 0^{23} \times 6.626 \times 1 0^{- 34} \times 5 \times 1 0^{14}$
$= 199.508 \times 1 0^{3} J m o l^{- 1}$

Q. Energy of one mole of photons of radiation whose frequency is 5×1014Hz is

199.51kJmol−1

189.51kJmol−1

198.51kJmol−1

188.51kJmol−1