Chemical Kinetics - Result Question 59
59. For the given reaction, $A+B \longrightarrow$ Products
Following data are given
Initial conc. $(\mathbf{m} / \mathbf{L})$ |
Initial conc. $(\mathbf{m} / \mathbf{L})$ |
Initial rate $\left[\mathbf{m L}^{-\mathbf{1}} \mathbf{s}^{-\mathbf{1}}\right]$ |
---|---|---|
$[A] _0$ | $[B] _0$ | |
0.1 | 0.1 | 0.05 |
0.2 | 0.1 | 0.1 |
0.1 | 0.2 | 0.05 |
(a) Write the rate equation.
(b) Calculate the rate constant.
(2004, 2M)
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Solution:
- $\dfrac{(\text { Rate }) _1}{(\text { Rate }) _2}=\dfrac{0.05}{0.10}=\dfrac{1}{2}=\left(\dfrac{1}{2}\right)^{a} \Rightarrow a=1$; order w.r.t $A$.
Order w.r.t $B=0$
(a) Rate $=k[A]$
(b) $k=\dfrac{\text { Rate }}{[A]}=\dfrac{0.05}{0.10}=0.5$ $ s^{-1}$