The binding energy of electrons in a metal is 201 kJ/mol .Find the threshold frequency of...

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Question

The binding energy of electrons in a metal is 201 kJ/mol .Find the threshold frequency of the metal.

Please explain how & the formulas! Thanks :)

Answer 1

Answer #1

The energy required to eject electron from the metal is 201 kJ/ mole which is the binding energy of the metal.

To eject one electron from the metal, required energy is : 201 kJ/ Avogadro's number = 201 kJ/ (6.023 * 10²³ ) = 3.34 * 10^-22 kJ

3.34 * 10^-24 kJ = 3.34 * 10^-22 kJ * (1000 J/ 1 kJ) = 3.34 * 10^-19 J

This is the threshold energy to eject one electron from the metal.

Threshold energy = Planck's constant * Threshold Frequency

So, 3.34 * 10^-19 J = 6.625 * 10^-34 J.s * Threshold Frequency

Or, Threshold Frequency = ( 3.34 * 10^-19 / 6.625 * 10^-34 ) s^-1 = 5.04 * 10¹⁴ s^-1

Answer 2

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