8.102 D ata from the planet Zog for some main-group elements are shown below (Zo

Question

8.102 D ata from the planet Zog for some main-group elements are shown below (Zoggian units are linearly related to Earth units but are not shown). Radio signals from Zog reveal that bal- loonium is a monatomic gas with two positive nuclear charges. Use the data to deduce the names that Earthlings give to these elements: Name Atomic Radius IE EA1 Balloonium Inertium Allotropium Brinium Canium Fertilium Liquidium Utilium 10 24 34 63 47 25 38 48 72 339 297 143 70.9 101 200 163 0 +4.1 28.6 7.6 15.3 0 -46.4 -6.1 -2.9 82.4 78.4 Crimsonium

Explanation / Answer

So in planet Zog Balloonium is mentioned as monoatomic gas with 2 positive nuclear charges
In planet Earth Helium is a monoatomic gas with 2 positive nuclear charges therefore compare
their ionzation potential and establish a relationship between these 2 elements,
For He = 2370
2370 / 339 = IEHe / IEBalloonium = 6.9911 ~ 7
IE1 of He = 7 * IE1 of Balloonium
So follow this trend to find the rest of the elements in earth,
For Inertium, 7 * 297 = 2079 which on earth is Neon (approx 2080)
Inertium = Neon  
For Allotropium, 7*143 = 1001 which on earth is Sulphur (approx 1000)
Allotropium = Sulphur
For Brinium, 7*70.9 = 496.3 which on earth is Sodium (approx 490)
Brinium = Sodium
For Canium , 7*101 = 707 which on earth is Manganese or lead (close to 710)
Canium = Manganese or lead
For Fertilium, 7*200 = 1400 which on earth in Nitrogen  
Fertilium = Nitrogen  
For liquidium,7*163 = 1141 which on earth in Bromine (approx 1140)
Liquidium = Bromine
for Utilium, 7*82.4 = 576.8 which on earth is Gallium
Utilium = Gallium
For Crimsonium, 7*78.4 = 548.8 which on earth is Strontium
Crimsonium =  Strontium

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