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$(I)$ $\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,O} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,||} \\
{C{H_3} - C{H_2} - O - S - C{F_3}} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,||} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,O}
\end{array}$
$(II)$ $CH_3-CH_2-O-TsCl$
$(III)$ $\begin{array}{*{20}{c}}
{C{H_3} - CH - C{H_3}} \\
{|\,\,\,\,} \\
{OH\,}
\end{array}$
$(IV)$ $\begin{array}{*{20}{c}}
{C{H_3} - CH - OH} \\
| \\
{{C_6}{H_5}}
\end{array}$
The reaction $X+Y^{2+} \rightarrow x^{2+} +Y$ will be spontaneous when :
$\ln {k_t} = \ln {k_0} + \left( {\frac{{\ln \left( {\frac{5}{2}} \right)}}{{10}}} \right) \times t\left( {t \geqslant 0{}\,^0C} \right)$
$K_0$ =rate constant at $0\,^o C$ ; $k_t$ = rate constant at $t\,^o C$
Temperature coefficient of reaction, assuming that the rate constant increases same number of times on each $10\,^oC$ rise in temperature, is