Final answer:
The condensed electron configurations for radon (Rn) and zirconium (Zr) are [Xe]6s²4f²145d²106p²6 and [Kr]5s²4d²2, respectively.
Step-by-step explanation:
Writing the condensed electron configurations for Rn (Z = 86) and Zr (Z = 40) involves identifying the nearest noble gas with a lower atomic number to use as a shorthand in the configuration.
For Rn (radon), the nearest noble gas with a lower atomic number is Xe (xenon, Z = 54). Hence, the condensed electron configuration for Rn starts with [Xe] and then includes the shells filled after xenon:
Rn: [Xe]6s²4f²145d²106p²6
For Zr (zirconium), the nearest noble gas with a lower atomic number is Kr (krypton, Z = 36). Thus, the condensed electron configuration for Zr begins with [Kr] and then accounts for the electrons in the shells following krypton:
Zr: [Kr]5s²4d²2
The electron configuration then continues with the filling of the 6s, 4f, 5d, and 6p orbitals.
The condensed electron configuration of Zr (Z = 40) is [Kr]5s24d2. The notation [Kr] indicates that the electron configuration of Zr starts with the electron configuration of krypton (Kr) at atomic number 36, which is 1s2 2s2 2p6 3s2 3p6 4s2 3d10. The electron configuration then continues with the filling of the 4d and 5s orbitals.