Question

Calculate the bond length between two hydrogen atoms that form a H2 molecule given that the bond energy is 436 kJ/mol and the force constant is 434 N/m.

Answer 1

To calculate the bond length between two hydrogen atoms in an H2 molecule, we can use the following equation:Bond length = sqrt  2 * Bond energy  /  Force constant * Avogadro's number  First, we need to convert the bond energy from kJ/mol to J/mol:Bond energy = 436 kJ/mol * 1000 J/kJ = 436000 J/molNow, we can plug the values into the equation:Bond length = sqrt  2 * 436000 J/mol  /  434 N/m * 6.022 x 10^23 molecules/mol  Bond length = sqrt  872000 J/mol  /  2.615 x 10^23 N  Bond length = sqrt 3.335 x 10^-21 m^2 Bond length  1.83 x 10^-10 mSo, the bond length between two hydrogen atoms in an H2 molecule is approximately 1.83 x 10^-10 meters or 0.183 nanometers  nm .