It takes 281.7 kJ of energy to remove 1 mole of electrons from the atoms on the surface of lithium metal. If lithium metal is irradiated with 261-nm light, what is the maximum kinetic energy the released electrons can have

The maximum kinetic energy of electron is = 2.93 × Joule

Explanation:

We know that total energy

 ------------ (1)

Here h = plank's constant = 6.62 × J s

c = speed of light = 3 ×

= 261 nm = 261  × m

Put all these values in equation (1) we get

E = 7.6   × J

We know that

Total energy = Energy to remove an electron + K.E of electron

Energy to remove an electron =

Energy to remove an electron = 4.67  × J

K.E of electron = Total energy - Energy to remove an electron

K.E of electron = 7.6   × -  4.67  ×

K.E of electron = 2.93 × Joule

Therefore the maximum kinetic energy of electron is = 2.93 × Joule

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