Chemical Kinetics and Nuclear ChemistryHard

Question

A(g) → B(g) + (α - particles)
(α-particles are helium nuclei, so will form helium gas by trapping electrons)
The radioactive disintegration follows first-order kinetics Starting with 1 mol of A in a 1-litre closed flask at 27oC pressure developed after two half-lives is approximately :

Options

A.25 atm
B.12 atm
C.61.5 atm
D.40 atm

Solution

A(g) → B(g) + (α - particles)
A(g) → B(g) + 2(42He (g))
1 mole        0         0
             2 ×
After two half life mole of A decomposes.
Total moles after 2 half life = = 2.5 mole
pV = nRT
p × 1 = 2.5 × .082 × 300
p = 61.5 atm

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