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The inverison of cane sugar was studied ...

The inverison of cane sugar was studied is `HCl` at `298 K`. The following polarimetric readings were obtained at different intervals of time:

Show that the inverison of cane sugar is a unimolecular reaction.

Text Solution

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In the present case, `r_(0)=+24.09,r_(oo)=-10.74:.r_(0)-r_(oo)=+24.09-(-10.74)=34.83`
The value of k at different instants may be calculated as under :
`{:("t (min)",,," "r_(t),,," "r_(t)-r_(oo),,," "k=(2.303)/(t)log""(r_(0)-r_(oo))/(r_(t)-r_(oo))),(7.18,,,+21.41,,,21.41-(-10.74)=32.15,,,k=(2.303)/(7.18"min")log""(34.83)/(32.15)=0.01113" min"^(-1)),(18.00,,,+17.74,,,17.74-(-10.74)=28.48,,,k=(2.303)/(18.00"min")log""(34.83)/(28.48)=0.01118" min"^(-1)),(27.05,,,+15.00,,,15.00-(-10.74)=25.74,,,k=(2.303)/(27.05"min")log""(34.83)/(25.74)=0.01118" min"^(-1)):}`
The constancy in the value of k proves that the reaction is of the first order.
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