Chemical Kinetics and Nuclear ChemistryMedium

Question

First order gas phase reaction

A → B + C

pᵢ = initial pressure of gas A, pₜ = total pressure of the reaction mixture at time t

Expression of rate constant (k) is

Options

A.1/t ln[pᵢ/(2pᵢ − pₜ)]
B.1/t ln[2pᵢ/(pᵢ − pₜ)]
C.1/t ln[pᵢ/(3pᵢ − 2pₜ)]
D.1/t ln[3pᵢ/(4pᵢ − pₜ)]

Solution

Sol.

As given (Pᵢ − x) + x + x = Pₜ

x = (Pₜ − Pᵢ)

K = 1/t ℓn[Pᵢ/(Pᵢ − x)] = 1/t ℓn[Pᵢ/{Pᵢ − (Pₜ − Pᵢ)}]

K = 1/t ℓn[Pᵢ/(2Pᵢ − Pₜ)]

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