a$.$ H$.$ H$.$ Weetall and N$.$ B$.$ Havewala report the following data for the production of dextrose from corn starch using both soluble and immobilized $($azo$-$glass beads$)$ glucoamylase in a fully agitated CSTR system.

$1.$ Soluble data: T $=60\backslash$infty C$,[$S$0]=168$ mg starch$/$ml$,[$E$0]=11,600$ units, volume $=1000$ ml$.$

$2.$ Immobilized data: T $=60\backslash$infty C$,[$S$0]=336$ mg starch$/$ml$,[$E$0]=46,400$ units initially, immobilized, volume $=1000$ ml$.$

Product concentration

$($mg dextrose$/$ml$)$

Time $($min$)$ Soluble Immobilized

$012\mathrm{.}018\mathrm{.}4$

$1540\mathrm{.}0135$

$3076\mathrm{.}5200$

$4594\mathrm{.}3236$

$60120\mathrm{.}0260$

$75135\mathrm{.}5258$

$90151\mathrm{.}2262$

$105150\mathrm{.}4266$

$120155\mathrm{.}7278$

$135160\mathrm{.}1300$

$150164\mathrm{.}9310$

$165170\mathrm{.}0306$

$225316$

$415320$Determine the maximum reaction velocity, Vm $($mg$/$ml$-$min $$ unit of enzyme$)$ and the saturation constant, KM $($mg$/$ml$).$

b$.$ The same authors studied the effect of temperature on the maximum rate of the hydrolysis of corn starch by glucoamylase. The results are tabulated next. Determine the activation energy $($DE cal$/$g mole$)$ for the soluble and immobilized enzyme reaction.

Vmax $($m mol$/$min $106$

$)$

T$,\backslash$infty C Soluble Azo$-$immobilized

$250\mathrm{.}620\mathrm{.}80$

$351\mathrm{.}421\mathrm{.}40$

$453\mathrm{.}603\mathrm{.}00$

$558\mathrm{.}06\mathrm{.}2$

$6516\mathrm{.}011\mathrm{.}0$

c$.$ Using these results, determine if immobilized enzyme is diffusion limited$.$

this is the question and in solution, in step one s is required to plot a graph betw v and s so what are the values of s $?$