Dear Student,
The active vitality of the shot out electrons and the vitality occurrence photons are connected as:
E_kin = E_p - W
W is the work, i.e. the base vitality required to expel an electron from the surface of the metal.
The active vitality of the shot out electron is:
E_kin = (1/2)∙m_e∙v²
= (1/2) ∙ 9.109×10⁻³⁰ kg ∙ (6.4×10⁴ m∙s⁻¹)²
= 1.866×10⁻²⁰ J
The vitality of the episode photon is:
E_p = h∙f = h∙c/λ
= 6.626×10⁻³⁴ J∙s ∙ 2.998×10⁸ m∙s⁻¹/470×10⁻⁹ m
= 4.227×10⁻¹⁹ J
Subsequently the base vitality to evacuate one electron is:
W = E_p - E_kin
= 4.227×10⁻¹⁹ J - 1.866×10⁻²⁰ J
= 4.040×10⁻¹⁹ J
The vitality per mole of electrons is:
W_m = W ∙ N_a
= 4.040×10 J ∙ 6.022×10²³ mol¹
= 24.33 kJ∙mol
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
