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Consider a first order gas phase decomposition

Question:

Consider a first order gas phase decomposition reaction given below :

A(g) → B(g) + C(g)

The initial pressure of the system before decomposition of A was pi. After lapse of time ‘t’, total pressure of the system increased by x units and became ‘pt The rate constant k for the reaction is given as _________.

(i) k = 2.303/t log Pi/Pi-x

(ii) ) k = 2.303/t log Pi/2Pi-Pt

(iii) ) k = 2.303/t log Pi/2Pi-2Pt

(iv) ) k = 2.303/t log Pi/Pi+x

Solution:

Option (ii) k = 2.303/t log Pi/2Pi-Pt is the answer.

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