MCQ
$t_{1/4}$ for first order reaction is given as
  • A
    ${t_{1/4}} = \frac{{2.303}}{K}\,\log \,4$
  • B
    ${t_{1/4}} = \frac{{2.303}}{K}\,\log \,2$
  • ${t_{1/4}} = \frac{{2.303}}{K}\,\log \,\frac{4}{3}$
  • D
    ${t_{1/4}} = \frac{{2.303}}{K}\,\log \,\frac{3}{4}$

Answer

Correct option: C.
${t_{1/4}} = \frac{{2.303}}{K}\,\log \,\frac{4}{3}$
c
$\mathrm{t}_{1 / 4}=\frac{2.303}{\mathrm{k}} \log \frac{[\mathrm{A}]_{0}}{[\mathrm{A}] \mathrm{t}}$

$\mathrm{t}_{1 / 4}=\frac{2.303}{\mathrm{k}} \log \frac{[\mathrm{A}]_{0}}{3[\mathrm{A}]_{0}} \times 4$

$t_{1 / 4}=\frac{2.303}{k} \log \frac{4}{3}$

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