An X-ray photon of wavelength 0.948nm strikes a surface. The emitted electron has a kinetic energy of 979 eV.
What is the binding energy of the electron in Kjol/mol ?
To find the binding energy of the electron in kilojoules per mole (Kj/mol), we first need to convert the given energy from electron volts (eV) to joules (J). Then, we can use the Avogadro's number to calculate the binding energy per mole.
1. Convert the kinetic energy from eV to J:
1 eV = 1.602 × 10^-19 J (conversion factor)
Kinetic energy = 979 eV × 1.602 × 10^-19 J/eV
≈ 1.569 × 10^-16 J
2. Use Avogadro's number to calculate the binding energy per mole:
Avogadro's number (Na) = 6.022 × 10^23 molecules/mol
Binding energy per mole = (Kinetic energy × Na) / 1000
= (1.569 × 10^-16 J × 6.022 × 10^23 molecules/mol) / 1000
≈ 9.449 × 10^6 J/mol
3. Convert the binding energy from joules to kilojoules:
1 J = 0.001 kJ
Binding energy per mole = 9.449 × 10^6 J/mol × 0.001 kJ/J
≈ 9449 kJ/mol
Therefore, the binding energy of the electron is approximately 9449 kilojoules per mole (Kj/mol).