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Chemical Kinetics question

2007 · Q89
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Chemical Kinetics question

2007 · Q89

NEETChemistryChemical KineticsMCQ+4 / −1
In a first-order reaction A →\to→ B, if k is rate constant and initial concentration of the reactant A is 0.5 M, then the half-life is
  1. A
    log⁡2k{{\log 2} \over k}klog2​
  2. B
    log⁡2k0.5{{\log 2} \over {k\sqrt {0.5} }}k0.5​log2​
  3. C
    ln⁡2k{{\ln 2} \over k}kln2​
  4. D
    0.6930.5k{{0.693} \over {0.5k}}0.5k0.693​
View written solutionFree

Correct answer: C

For first order reaction

k = 2.303tlog⁡aa−x{{2.303} \over t}\log {a \over {a - x}}t2.303​loga−xa​

at t1/2{t_{1/2}}t1/2​, x = a2{a \over 2}2a​

t1/2{t_{1/2}}t1/2​ = 2.303klog⁡aa−a2{{2.303} \over k}\log {a \over {a - {a \over 2}}}k2.303​loga−2a​a​

= ln⁡2k{{\ln 2} \over k}kln2​

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