How long would it take for a sample of 222 Rn that weighs 0.750 grams to decay to 0.0469 grams, assuming the half-life of 222 Rn is 3.82 day

Formula we will be using:

(i) ,

where

Final quantity

Initial quantity

t=time ( same unit as that of half-life)

n=half-life

Given,

Final quantity ==0.100g

Initial quantity==0.750g

Time= t(unknown)

Half-life=n=3.823 days

Plug in the above values in the formula:

Divide both sides by 0.750:

Taking natural long on both sides:

Applying

Dividing both sides by ln(0.5):

Multiplying both sides by 3.823:

11.113=t

t=11.113

It would take 11.113 days

Answer : 11.113 days

Explanation:

alkaline metals are lithium, sodium, rubidium, potassium, cesium and francium.

alkali metals have electronegativity from 0.7 to 1, lowest in periodic table of elements, which means that alkali metals (i group in periodic table) has positive oxidation number in compounds.

electronegativity is a chemical property that describes the tendency of an atom to attract a shared pair of electrons towards itself.

alkaline metals (far left in main group) have lowest ionizations energy and easy remove valence electrons,

for example, potassium is the alkali metal and has a single valence electron in the outer electron shell.

electron configuration of potassium is: ₁₉k 1s²2s²2p⁶3s²3p⁶4s¹.

they can not exist alone in nature, because they are very reactive.