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If the rate constant for a first order reaction is k, the time (t) required for the completion of 99% of the reaction is given by:
  • a)
    t = 0.693/k
  • b)
    t = 6.909/k
  • c)
    t = 4.606/k
  • d)
    t = 2.303/k
Correct answer is option 'C'. Can you explain this answer?
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If the rate constant for a first order reaction is k, the time (t) req...
First order rate constant is given as,

99% completed reaction,

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If the rate constant for a first order reaction is k, the time (t) req...
Formula for First Order Reaction

The rate constant (k) for a first order reaction can be defined as the rate of disappearance of the reactant is proportional to the concentration of the reactant at that time. The formula for a first-order reaction is:

Rate of Reaction = -d[A]/dt = k[A]

Where, [A] is the concentration of the reactant at any given time.

Formula for Time Required for Completion

The time required for the completion of 99% of the reaction is given by the following formula:

t = (2.303/k) x log(1/0.01)

Where, k is the rate constant and log(1/0.01) is equal to 2.

Solving the Equation

Substituting the value of log(1/0.01) in the above equation, we get:

t = (2.303/k) x 2

t = 4.606/k

Thus, the correct option is C.
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If the rate constant for a first order reaction is k, the time (t) required for the completion of 99% of the reaction is given by:a)t = 0.693/kb)t = 6.909/kc)t = 4.606/kd)t = 2.303/kCorrect answer is option 'C'. Can you explain this answer?
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