A first order reaction has the rate constant, . The number of correct statement/s from the following is/are ______. Given: log 3 = 0.48 [2023] A. Reaction completes in 1000 s. B. The reaction has a half-life of 500 s. C. The time required for

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Solution

Q.
A first order reaction has the rate constant, $k = 4.6 \times 10^{- 3} s^{- 1}$ . The number of correct statement/s from the following is/are ______. Given: log 3 = 0.48 [2023]

A. Reaction completes in 1000 s.

B. The reaction has a half-life of 500 s.

C. The time required for 10% completion is 25 times the time required for 90% completion.

D. The degree of dissociation is equal to $(1 - e^{- kt})$ .

E. The rate and the rate constant have the same unit.

Ans.
(2)

(C & D)

Statement 4 is correct

$C_{t} = C_{0} e^{- k t}$

$C_{0} \to C_{0} - C_{t}$

$1 \to \frac{C_{0} - C_{t}}{C_{0}}$

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