The following data were obtained during the first order thermal decomposition of a gas A at constant volume : A(g) 2B(g) + C(g) [figure] The rate constant of the reaction is 10-2 s-1 (nearest integer)
Answer
2
Solution
A(g) 2B(g) + C(g)
t = 0: 0.1 atm, 0, 0; t = 115 s: (0.1 − x), 2x, x
⇒ Ptotal = 0.1 + 2x = 0.28 ⇒ x = 0.09 atm ⇒ PA = 0.01 atm
First order: k = 2.303t P0PA
⇒ k = 2.303115 0.10.01 = 2.303115
∴ k = 0.020 s-1 = 2 × 10-2 s-1
Answer: 2