Radon (Rn) is the heaviest, and only radioactive, member ofGroup 8A(18) (noble gases). It is a product of the disintegrationof heavier radioactive nuclei found in minute concentrations inmany common rocks used for building and construction. In recent years, health concerns about the cancers caused from in-haled residential radon have grown. If 1.0x10^15atoms of ra-dium (Ra) produce an average of 1.373x10^4atoms of Rn persecond, how many liters of Rn, measured at STP, are producedper day by 1.0 g of Ra?
Radon (Rn) is the heaviest, and only radioactive, member ofGroup 8A(18) (noble gases). It is a product of the disintegrationof heavier radioactive nuclei found in minute concentrations inmany common rocks used for building and construction. In recent years, health concerns about the cancers caused from in-haled residential radon have grown. If 1.0x10^15atoms of ra-dium (Ra) produce an average of 1.373x10^4atoms of Rn persecond, how many liters of Rn, measured at STP, are producedper day by 1.0 g of Ra?
The volume of radon at the STP produced by the 1 g of Radium is to be determined.
Mass of the radium given = 1 g
Molar mass of radium = 226 g/mol
Thus, the number of moles of radium is the ratio of the mass of the radium given to the molar mass of radium.
Thus,
nR = Number of moles of radium
Let Avogadro number = NA = 6.22 x 1023 atoms
The number of atoms of radium present is given as:-
NR = Number of atoms of radium
Let the number of atoms of radon produced by radium = Z
It is given that 1 x 1015 atoms of radium produces 1.373 x 104 atoms of radon per second.
Thus,
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