Show that for a first order …
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Sia ? 6 years, 3 months ago
For a first order reaction, rate constant,
{tex}k=\frac{2303}{t} \log \frac{[R]_{0}}{[R]}{/tex}
When {tex}t=t_{1 / 2^{\prime}}[R]=\frac{[R]_{0}}{2}{/tex}
{tex}t_{1 / 2}=\frac{2303}{k} \log \frac{[R]_{0}}{[R]_{0} / 2}{/tex}
{tex}t_{1 / 2}=\frac{2303}{k} \log 2=\frac{2303 \times 03010}{k}{/tex}
{tex}t_{1 / 2}=\frac{0693}{k}{/tex}
For a first order reaction, half-life period is constant. It is independent of initial concentration of the reacting species.
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