Decomposition of A is a first order reaction at T(K) and is given by A(g) B(g) + C(g). In a closed 1 L vessel, 1 bar A(g) is allowed to decompose at T(K). After 100 minutes, the total pressure was 1.5 bar. What is the rate constant (in min-1) of the reaction? ( 2 = 0.3)
- 6.9 10-4
- 6.9 10-3
- 6.9 10-1
- 6.9 10-2
Answer
(2) 6.9 10-3
Solution
A(g) B(g) + C(g)
At t = 0: pA = 1 bar; at t = 100 min: pA = 1 - x, pB = pC = x
Total pressure: 1 - x + x + x = 1 + x = 1.5
x = 0.5 bar pA = 0.5 bar
For a first order reaction: k = 2.303t p0pA
= 2.303100 10.5 = 2.303 0.3100
= 6.9 10-3 min-1
Answer: (2)