Inversion of sucrose (C12H22O11) is first-order reaction and is studied by measuring angle of rotation at different instant of time [IMAGE] If and (where , and are the angle of rotation at the start, at the time t and at the end of the reaction respectively, then there is 50 inversion when

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Inversion of sucrose (C12H22O11) is first-order reaction and is
studied by measuring angle of rotation at different instant of time
[IMAGE] If $\left( r_{\infty} - r_{0} \right) = a$ and
$\left( r_{\infty} - r_{t} \right) = (a - x)$ (where $r_{0}$ , $r_{t}$
and $r_{\infty}$ are the angle of rotation at the start, at the time t
and at the end of the reaction respectively, then there is 50 inversion
when

Show answer and solution

Given,

\left( r_{\infty} - r_{0} \right) = a,\left( r_{\infty} - r_{t} \right) = (a - x)

At 50 Inversion

\frac{a}{2} = (a - x)

\frac{\left( r_{\infty} - r_{0} \right)}{2} = \left( r_{\infty} - r_{t} \right)

\left( r_{\infty} - r_{0} \right) = 2r_{\infty} - 2r_{t}

r_{0} = 2r_{t} - r_{\infty}

Source: Grass-G / CH-23 Chemistry Paper 31 Dec. FST.docx

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