Respuesta :
We know that:
f * λ = c
and
E = h*f
so,rearranging:
E/h = C/λ
given:
h = 6.90 × 10^2 nm
substituting the values:
E = C/λ x h
(c is the speed of light;that is 3x10^8 m/s)
= 3x10^8 x 6.626x10^-34 / 6.90 x10^7m x 6.022x10^23
Hence,
using calculator:
we get,
E = 1.69 x 10^5 Joules
f * λ = c
and
E = h*f
so,rearranging:
E/h = C/λ
given:
h = 6.90 × 10^2 nm
substituting the values:
E = C/λ x h
(c is the speed of light;that is 3x10^8 m/s)
= 3x10^8 x 6.626x10^-34 / 6.90 x10^7m x 6.022x10^23
Hence,
using calculator:
we get,
E = 1.69 x 10^5 Joules
The energy for one mole of photons : 1.7343.10⁵ J
Further explanation
The photoelectric effect is an electron coming out of a metal because of electromagnetic radiation
One type of electromagnetic radiation is light
Electrons can come out of metal because they absorb electromagnetic energy radiated on metals. There is also kinetic energy released from metal, which is according to the equation:
E = hf - hfo
fo = the threshold frequency of electromagnetic waves
Radiation energy is absorbed by photons
The energy in one photon can be formulated as
E = h. f
Where
h = Planck's constant (6,626.10⁻³⁴ Js)
f = Frequency of electromagnetic waves
f = c / λ
c = speed of light
= 3.10⁸
λ = wavelength
Known wavelength 6.90 × 10² nm
6.90 × 10² nm. = 6.9.10⁻⁷ m
We put it in the formula to find this light energy E = h. f
[tex]\rm E=\dfrac{h\times c}{\lambda}\\\\E=\dfrac{6,626.10^{-34}\times 3.10^8}{6.9.10^{-7}}\\\\E=2.88.10^{-19}[/tex]
Because this is 1 photon energy, while the number of photons in one mole = 6.02.10²³, then the energy for one mole of photons
2.88 .10⁻¹⁹ x 6.02.10²³ = 1.7343.10⁵ J
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