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The optical rotation of surcose in 0.5 ...

The optical rotation of surcose in 0.5 M HCI at `35^(@)`C at various time interval are given show that the reaction is first order
Time (minutes) 0 10 20 30 40 `prop`
Rotation (degrees) +32.4 +28.8 +25.5 +22.4 +19.6 -11.1

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Verified by Experts

In this case `a_(0)=r_(0)-r_(infty)=+32.4 (-11.1)=+43.5`
Time `r_(t) r_(t)-r_(infty) (l)/(t) ln (r_(0)-r_(prop))/(r_(t)-r_(prop))=k_(1)`
20 min +25.5 36.6 `1/10 ln 43.5/36.6 =0.008625 min^(-1)`
`40 min +19.6 30.7 1/40 ln 43.5/30.7 =0.008717 min^(-1)`
The constancy of `k_(1)` indicates that the inversion of sucrose is a first reaction
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