The inversion of cane sugar was studied in 1 N HCl at 298 K. The following polarimetric readings were obtained at different intervals of time : {:("Time (minutes)",,,:,,,0.0,,,7.18,,,18.00,,,27.05,,,oo),("Reading (degree)",,,:,,,+24.09,,,+21.41,,,+17.74,,,+15.00,,,-10.74):} Show that the inversion of cane sugar is a unimolecular reaction.

The inversion of cane sugar was studied in 1 N HCl at 298 K. The follo

1.	The inversion of cane sugar was studied in 1 N HCl at 298 K. The following polarimetric readings were obtained at different intervals of time : {:("Time (minutes)",,,:,,,0.0,,,7.18,,,18.00,,,27.05,,,oo),("Reading (degree)",,,:,,,+24.09,,,+21.41,,,+17.74,,,+15.00,,,-10.74):} Show that the inversion of cane sugar is a unimolecular reaction.
Answer» SOLUTION :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.