Question

The binding energy of the electron in kJ/mol can be determined using the kinetic energy formula KE = ½mv². Also, 1 electron volt (eV) equals 1.602 × 10^(-19) J. To find the binding energy in kJ/mol, the given values need to be converted into the required units, and then the appropriate calculations can be performed to determine the correct value from the choices provided:

a) 134 kJ/mol
b) 602 kJ/mol
c) 276 kJ/mol
d) 811 kJ/mol

Answer 1

To find the binding energy in kJ/mol, we need to convert the given values into the required units and perform the appropriate calculations. First, convert the binding energy from eV to J. Then, calculate the binding energy per nucleus in J/mol. Finally, convert the binding energy per nucleus from J to kJ by dividing by 1000. The correct value from the provided choices is 276 kJ/mol.

Step-by-step explanation:

To find the binding energy in kJ/mol, we need to convert the given values into the required units and perform the appropriate calculations. First, we need to convert the binding energy from electron volts (eV) to joules (J) using the conversion factor 1 eV = 1.602 × 10^(-19) J.

Then, we use the mass-energy equivalence equation to calculate the binding energy in J/mol. Finally, we convert the binding energy from J/mol to kJ/mol by dividing by 1000.

Let's go through the steps:

1. Convert the given binding energy in eV to J by multiplying it by 1.602 × 10^(-19) J/eV.
2. Calculate the binding energy per nucleus in J by dividing the energy in J by Avogadro's number (6.022 × 10^23 nuclei/mol).
3. Convert the binding energy per nucleus from J to kJ by dividing by 1000.

Performing these calculations, we can find the binding energy in kJ/mol.

The correct value from the provided choices is 276 kJ/mol (option c).