the time required for the 100% completion of a first order reaction if its half life is 100 minute is
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Answered by
1
Given:
Half life of reaction, T1/2 = 100 minutes.
Order of reaction = 1
To Find:
The time required for the 100% completion of reaction.
Calculation:
-We know that for a first order reaction, the formula is:
t = (2.303/k) log [R]₀/[R]
- For 100% completion, the amount of reactants left is zero, i.e., [R] = 0
- From the above equation, we have:
t = (2.303/k) log [R]₀/0
⇒ t = (2.303/k) log ∞
⇒ t = ∞
- Hence, for a first order reaction, it requires infinite amount of time for the reaction to be 100% complete.
Answered by
2
The time required for 100% completion of any first order reaction is infinite.
- For a first order reaction, kt= ln(Ai/At).
- Half life of a reaction is the time in which the concentration of the reactants becomes half of the initial concentration.
- When the reaction is 100% complete, At=0, hence infinite time will be the required for the reaction to be completed.
- Therfore, no reaction can reach 100% completion.
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