The value of frac{{{t_{0.875}}}}{{{t_{0.50}}} | vedclass

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Question

$\mathrm{K}_{\mathrm{t}}=\frac{1}{\mathrm{n}-1}\left[\frac{1}{\mathrm{A}_{t}^{\mathrm{n}-1}}-\frac{1}{\mathrm{A}_{0}^{\mathrm{n}-1}}ight]$

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Vedclass · Accepted Answer

$\frac{{{8^{n - 1}} - 1}}{{{2^{n - 1}} - 1}}$

Vedclass · Answer

$\mathrm{K}_{\mathrm{t}}=\frac{1}{\mathrm{n}-1}\left[\frac{1}{\mathrm{A}_{t}^{\mathrm{n}-1}}-\frac{1}{\mathrm{A}_{0}^{\mathrm{n}-1}}ight]$

${{	ext{K}}_{t\,\,0.5}} = \frac{1}{{{	ext{n}} - 1}}\left[ {\frac{{{2^{{	ext{n}} - 1}} - 1}}{{{	ext{A}}_0^{{	ext{n}} - 1}}}} ight]$

${{	ext{K}}_{{	ext{t}}\,\,\,0.875}} = \frac{1}{{{	ext{n}} - 1}}\left[ {\frac{{{8^{{	ext{n}} - 1}} - 1}}{{{	ext{A}}_0^{{	ext{n}} - 1}}}} ight]$

$\frac{t_{0.875}}{t_{0.5}}=\frac{8^{n-1}-1}{2^{n-1}-1}$

The value of $\frac{{{t_{0.875}}}}{{{t_{0.50}}}}$ for $n^{th}$ order reaction is

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