A(g) B(g) + C(g) is a first order reaction. array|l|c|c| Time & t & \ Psystem & Pt & P \ array The reaction was started with reactant A only. Which of the following expressions is correct for rate constant k?
- k = 1t P Pt
- k = 1t P 2(P - Pt)
- k = 1t 2(P - Pt)Pt
- k = 1t P (P - Pt)
Answer
(2) k = 1t P 2(P - Pt)
Solution
Let the initial pressure of A be P0.
A(g) B(g) + C(g)
At t: P0 - p, p, p Pt = P0 + p
At ∞: 0, P0, P0 P = 2P0 P0 = P 2
Pressure of A at time t:
PA = P0 - p = 2P0 - Pt = P - Pt
For a first order reaction,
k = 1t P0PA
k = 1t P 2(P - Pt)
Answer: (2)