The rate of first-order reaction is 0.04 mol L-1 s-1 at 10 seconds and 0.03 mol L-1 s-1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is
- 44.1 s
- 54.1 s
- 24.1 s
- 34.1 s
Answer
(3) 24.1 s
Solution
For a first-order reaction, rate = k[R] ⇒ rate ∝ [R].
[R]10[R]20 = 0.040.03 = 43
k = 2.303t2 - t1 [R]10[R]20
= 2.30310 43
= 0.2303 0.1249 = 0.0288 s-1
t1/2 = 0.693k = 0.6930.0288 = 24.1 s
Answer: (3)