Radon (Rn) is the heaviest and the only radioactive member of Group 8A(18), the
ID: 892765 • Letter: R
Question
Radon (Rn) is the heaviest and the only radioactive member of Group 8A(18), the noble gases. It is a product of the disintegration of heavier radioactive nuclei found in minute concentrations in many common rocks used for building and construction. In recent years, health concerns about the cancers caused from inhaled residential radon have grown. If 1.00 Times 10^15 atoms of radium (Ra) produce an average of 1.373 Times 10^4 atoms of Rn per second, how many liters of Rn, measured at STP, are produced per day by 1.25 g of Ra? L Rn/dayExplanation / Answer
no of moles = (1.25/226) = 0.00553 mole
1 mole = 6.023*10^23 atom/mol
atomicmass of Ra = 226 g/mol
No of atoms of Ra = (1.25/226)*6.023*10^23 = 3.31*10^21 atoms
1*10^15 atoms gives 1.373*10^4 atoms/sec
so that,
3.31*10^21 atoms gives = (1.373*10^4)*(3.31*10^21)/(1*10^15)
= 4.54463*10^10 atoms/sec
No of atoms produced per day = (4.54463*10^10 *86400)
= 3.92656032*10^15 atoms/day
volume V = nRT/P
STP ,
P = 1 atm , T = 273 K
n = no of moles = (3.92656032*10^15/(6.023*10^23))
= 6.52*10^-9 mole
V = (6.52*10^(-9))*0.0821*273/1
= 1.46134716*10^-7 L Rn/day
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.