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For the wave of light you generated in the Part B, calculate the amount of energy in 1.0 mol of photons with that same frequency (6.8×109 Hz ) and wavelength (0.044 m ). Recall that the Avogadro constant is 6.022×1023 mol−1. Express the energy in joules to two significant figures.

Respuesta :

skyluke89

Answer:

2.7 J

Explanation:

The energy of one photon is given by

[tex]E=hf[/tex]

where

h is the Planck constant

f is the frequency

For the photons in this problem,

[tex]f=6.8\cdot 10^9 Hz[/tex]

So the energy of one photon is

[tex]E_1=(6.63\cdot 10^{-34})(6.8\cdot 10^9 )=4.5\cdot 10^{-24} J[/tex]

The number of photons contained in 1.0 mol is

[tex]N_A = 6.022\cdot 10^{23} mol^{-1}[/tex] (Avogadro number)

So the total energy of [tex]N_A[/tex] photons contained in 1.0 mol is

[tex]E=N_A E_1 =(6.022\cdot 10^{23})(4.5\cdot 10^{-24})=2.7 J[/tex]

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