Question #97953
-TOPIC_ inversion of sugar Cane
I plotted a graph of ln(Optical rotation -
Infinite optical rotation) vs time..obtained the pseudo rate constant
How do I use optical rotation to determine the rotation at time zero
1
Expert's answer
2019-11-11T07:47:30-0500

Inversion of cane sugar is a pseudo first order reaction.

Rateconstant(k)×t=2.303log((ata)/(a0a))Rate constant (k)×t= 2.303log((a_t-a_{\infty})/(a_0-a_{\infty}))

Rateconstant(k)×t=2.303log(ata)2.303log(a0a)Rate constant (k)×t= 2.303log(a_t-a_{\infty})-2.303log(a_0-a_{\infty})

t=2.303log(ata)/k2.303log(a0a)/kt= 2.303log(a_t-a_{\infty})/k-2.303log(a_0-a_{\infty})/k

at= optical rotation at time t=tt=t

a0= optical rotation at time t=0t=0

a=opticala_{\infty}=optical rotation after infinite time

It is of the form x=my+cx=my+c

x=tx=t

m=2.303/km=2.303/k

y=log(ata)y=log(a_t-a_{\infty})

c=(2.303log(a0a))/kc=-(2.303log(a_0-a_{\infty}))/k

Now in the graph, when x=0x=0 ,we obtain x intercept which is equal to c.

We know k,aa_{\infty} and c from the graph so using all these in equation (1) we obtain optical rotation at time 0.








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