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brittsterrr
29.05.2020 •
Chemistry
In order to comply with the requirement that energy be conserved, Einstein showed in the photoelectric effect that the energy of a photon (h) absorbed by a metal is the sum of the work function (), the minimum energy needed to dislodge an electron from the metal's surface, and the kinetic energy (Ek) of the electron: h = + Ek. When light of wavelength 357.4 nm falls on the surface of potassium metal, the speed (u) of the dislodged electron is 5.8×105 m/s. What is (in kJ/mol) of potassium?
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Ответ:
Complete Question
In order to comply with the requirement that energy be conserved, Einstein showed in the photoelectric effect that the energy of a photon (h) absorbed by a metal is the sum of the work function (
), the minimum energy needed to dislodge an electron from the metal's surface, and the kinetic energy (Ek) of the electron:
. When light of wavelength 357.4 nm falls on the surface of potassium metal, the speed (u) of the dislodged electron is 5.8×105 m/s. What is work function (in kJ/mol) of potassium?
The work function is![\phi_m = 242.195 \ KJ /mol](/tpl/images/0670/1316/ddb9f.png)
Explanation:
From the question we are told that
Where h is the Planck's constant which has a constant value of![h = 6.626 *10^{-34} J \cdot s](/tpl/images/0670/1316/11bda.png)
Ek is the kinetic energy which is mathematically represented as
Where m is the mass of electron with a constant value
The wavelength is![\lambda = 357.4 nm = 357.4 *10^{-9} \ m](/tpl/images/0670/1316/c5578.png)
The speed of the electron is![v = 5.8*10^{5} m/s](/tpl/images/0670/1316/59dce.png)
This photoelectric effect can be mathematically defined as
f is the frequency of the incident light which is mathematically represented as![f = \frac{c}{\lambda }](/tpl/images/0670/1316/c9f36.png)
So we have
substituting value
=>![\phi = 4.021*10^{-19} J](/tpl/images/0670/1316/bcd99.png)
For one mole of one mole the work function is
Where N is the avogadro's constant with a value
So
now in KJ
Ответ:
Cells have many structure inside of them called organelles which allow it to function and survive
Hope it helps