Construct a Born–Haber cycle for the formation of the hypothetical compound NaCl2, where the sodium ion has a 2+ charge (the second ionization energy for sodium is given in Table).
Table Successive Values of Ionization Energies, I, for the Elements Sodium through Argon (kJ/mol)
Element |
I1 |
I2 |
I3 |
I4 |
I5 |
I6 |
I7 |
|
Na |
496 |
4562 |
(inner-shell electrons) |
|||||
Mg |
738 |
1451 |
7733 |
|||||
Al |
578 |
1817 |
2745 |
11,577 |
||||
Si |
786 |
1577 |
3232 |
4356 |
16,091 |
|||
P |
1012 |
1907 |
2914 |
4964 |
6274 |
21,267 |
||
S |
1000 |
2252 |
3357 |
4556 |
7004 |
8496 |
27,107 |
|
Cl |
1251 |
2298 |
3822 |
5159 |
6542 |
9362 |
11,018 |
|
Ar |
1521 |
2666 |
3931 |
5771 |
7238 |
8781 |
11,995 |
(a) How large would the lattice energy need to be for the formation of NaCl2 to be exothermic?
(b) If we were to estimate the lattice energy of NaCl2 to be roughly equal to that of MgCl2 (2326 kJ/mol from Table), what value would you obtain for the standard enthalpy of formation, ΔHf°, of NaCl2?
Table Lattice Energies for Some Ionic Compounds
Compound |
Lattice Energy (kJ/mol) |
✦ Organic chemistry is literally defined as the study of compounds containing carbon atoms... But it is actually the study of electrons, not atoms. • Must recognize that reactions occur as a result of the motion of electrons. Vitalism: The belief that compounds obtained from living sources possessed a special "vital force" that inorganic compounds lacked. Stipulated that it should be impossible to convert inorganic compounds into organic compounds without the introduction of an outside vital force. • Vitalism was disproved: In 1828 when German chemist Friedrich Wohler demonstrated the conversion of ammonium cyanate (inorganic salt) into urea (organic compound) ¹ Organic compounds became