For a first order reaction the rate constant is 6.909 min⁻¹.
The time taken for 75% conversion in minutes is
(a) 3/2 log 2
(b) 2/3 log 3
(c) 2/3 log 2
(d) 3/2 log (3/2)
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❤.option B is correct
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The time taken for 75% conversion in minutes is :
1. For a first order reaction the rate constant is 6.909 min⁻¹.
2. k = 6.909 min⁻¹.
3. We know that,
k = (2.303/t)×log(R°/R° - x)
6.909 = (2.303/t)×log(100/100-75)
3 = (1/t)×log4
4. t = 1/3×log2^2 = 2/3×log2
5.Therefore, time taken for 75% conversion is 2/3×log2
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