Chemical Kinetics and Nuclear ChemistryHard
Question
For the first-order parallel reactions, starting with 1 M of A, which of the following statement(s) is/are correct? $A\overset{\quad 3K\quad}{\rightarrow}B$ $A\overset{\quad 2K\quad}{\rightarrow}2C$ $A\overset{\quad K\quad}{\rightarrow}3D$
Options
A.[B]t: [C]t: [D]t is independent of time.
B.[C]t > [B]t = [D]t
C.[C]∞ = 0.67 M
D.If K = 0.5 min−1, then [B] = 1 M after 1.386 min.
Solution
[B]: [C]: [D] = 1 × 3K: 2 × 2K: 3 × K = 3: 4: 3
A ? B A ? 2C A ? 3D
t = 0 1M 0 1M 0 1M 0
t = t 1–(x + y + z) xM 1–(x + y + z) 2yM 1–(x + y + z) 3zM
t = ∞ 1–(a + b + c) aM 1–(a + b + c) 2bM 1–(a + b + c) 3cM
As a: 2b: 3c = 3: 4: 3 and a + b + c = 1
[C] = 2b = 0.67 M
As [A0] =1 M, [B] ≠ 1M
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