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 × 1015 atoms of radium (ra) produce an average of 1.373 × 104 atoms of rn per second, how many liters of rn, measured at stp, are produced per day by 9.64 g of ra?

1.1347 * 10 ^ - 8 liter / day

Explanation:

1) convert 9.64 g of Ra to number of moles, using the atomic mass of Ra

number of moles = mass in grams / atomic mass

atomic mass of Ra = 226 g/mol

number of moles Ra = 9.64 g / 226 g/mol = 0.042654867 moles

2) number of atoms in 0.042654867 moles

number of atoms = number of moles * Avogadro's number

number of atoms of Ra = 0.042654867 * 6.022 * 10^ 23 = 2.568676 * 10^ 22 atoms of Ra

3) atoms of Rn produced

Proportion

1.00 × 10^15 atoms of Ra          2.568676 × 10^22 atoms of Ra         
=
1.373 × 10^4 atoms of Rn/s                       x

x = 3.52679 × 10^ 10 atoms of Rn/s

4) liters per day

PV = nRT => V = nRT /P

STP => T = 273.15K, P = 1 atm

n = 3.52679 × 10^ 10 atoms of Rn/s / (6.022 * 10^ 23 atoms / mol) =5.85651 * 10 ^ -14 mol/s

=> V = 5.85651 * 10^ -14 mol/s * 0.0821 atm*liter / mol*K * 273.15 / 1 atm =

V = 1.3133 * 10 ^ -13 liter / s

Per day => 1.313 * 10 ^ -13 liter / s * 24 h/day * 3600 s/h = 1.1347 * 10 ^ - 8 liter / day

And that is the

The  grandmother cell  is a hypothetical  neuronthat represents a complex but specific concept or object.[1]  it activates when a person "sees, hears, or otherwise sensibly discriminates"[2]  a specific entity, such as his or her grandmother. the term was in use at least as early as 1966 amongst staff and students in the department of experimental psychology, university of cambridge, england. a similar concept, that of the  gnostic neuron, was proposed two years later