When photons with a wavelength of 310. nm strike a magnesium plate, the maximum velocity of the ejected electrons is 3.45 * 10⁵ m/s. Calculate the binding energy of electrons to the magnesium surface. A) 32.7 kJ/mol B) 321 kJ/mol C) 353 kJ/mol D) 386 kJ/mol E) 419 kJ/mol

Question

Quizplus · Accepted Answer

The binding energy can be calculated using the photoelectric effect equation: $E_{photon} = KE_{electron} + BE$. First, calculate the energy of the photon using $E = \frac{hc}{\lambda}$, then calculate the kinetic energy of the electron using $KE = \frac{1}{2}mv^2$. Subtract the kinetic energy from the photon energy to find the binding energy, and convert it to kJ/mol.

When Photons with a Wavelength of 310