Ncert Exercises & Solutions

Consider the first-order gas-phase decomposition reaction given below.

A(g) → B(g) + C(g)

The initial pressure of the system before the decomposition of A was $P_{i}$ . After the lapse of time t, the total pressure of the system increased by X units and became $P_{t}$ . The rate constant k for the reaction is:

1.	$k = \frac{2 .303}{t} \log \frac{P_{i}}{P_{i} - x}$	2.	$k = \frac{2 .303}{t} \log \frac{P_{i}}{2 P_{i} - P_{t}}$
3.	$k = \frac{2 .303}{t} \log \frac{P_{i}}{2 P_{i} + P_{t}}$	4.	$k = \frac{2 .303}{t} \log \frac{P_{i}}{P_{i} + x}$

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