JEE Advanced | 2018Chemical Kinetics and Nuclear ChemistryHard

Question

For a first order reaction A(g) → 2B(g) + C(g) at constant volume and 300 K, the total pressure at the beginning (t = 0) and at time t are P0 and Pt, respectively. Initially, only A is present with concentration [A]0, and t1/3 is the time required for the partial pressure of A to reach 1/3rd of its initial value. The correct option(s) is (are) :-
(Assume that all these gases behave as ideal gases)

Options

A.

B.

C.

D.

Solution

A→2B + C
t = 0         P0                –     –
t = t           P0–P        2P       P
P0 + 2P = Pt
K=12 lnPo3Po-P=12 lnPoPo-(Pt-Po)2
K=ltln2Po3Po-Pt⇒-Kt+ln2Po=ln(3Po-Pt)
and t1/3=lKlnPoPo/3=1Kln=constant
Rate constant does not depends on concentration
 

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