i have a question from my tutorial which i do not understand at all... my lecturer gave no commnets on it either so i hope someone can help me with this.
2.A typical bond-length is 1 Å. If we knew where electrons were in a bond or a “loan pair”, then you would expect that their position would be known to, say, 1% of a typical bond length. (a) What, therefore, is the uncertainty in the position of an electron if we were able to quite accurately say where it was in a bond or loan-pair? (b) Using the uncertainty principle, what is the corresponding uncertainty in the electrons momentum? (c) Electrons in bonds don’t move as fast as 10% of the speed of light, but, as an upper limit to their speed, assume they do. What momentum would an electron have if it moved at 10% of the speed of light in a bond or loan-pair? (d) What is the percentage error in the momentum of the electron due to the uncertainty principle? (e) What percentage error does this correspond to in the electron’s kinetic energy? (f) A typical bond energy is 400 kJ mol-1. What error would you place on this energy if you were able to say where the electron was in the bond to 1% of its bond length?