Reaction A(g) 2B(g) + C(g) is a first order reaction. It was started with pure A. array|c|c| t/min & Pressure of system at time t/mm Hg \ 10 & 160 \ & 240 \ array Which of the following option is incorrect?
- Initial pressure of A is 80 mm Hg
- The reaction never goes to completion
- Partial pressure of A after 10 minutes is 40 mm Hg
- Rate constant of the reaction is 1.693 min-1
Answer
(4) Rate constant of the reaction is 1.693 min-1
Solution
A(g) 2B(g) + C(g)
t = 0: p0, 0, 0
t: p0 - x, 2x, x Ptotal = p0 + 2x
At t = : 3p0 = 240 p0 = 80 mm Hg — option (1) is correct.
At t = 10 min: 80 + 2x = 160 x = 40
pA = 80 - 40 = 40 mm Hg — option (3) is correct.
k = 2.303t p0pA = 2.30310 8040
= 0.2303 0.301 = 0.0693 min-1 — option (4), 1.693 min-1, is incorrect.
For a first order reaction pA = p0e-kt becomes zero only as t , so it never goes to completion — option (2) is correct.
Answer: (4)