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Racemic Mixture

First order k...

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First order kinetics, derive integral rate equation for optically active substance when optical rotation angles are given (all steps)

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The optically active tartaric acid is named as D-(+)- tartaric acid because it has a positive

Q. An optically active compound A upon acid catalysed hydrolysis yield two optically active compound B and C by pseudo first order kinetics. The observed rotation of the mixture after 20 min was

20^{\circ}

while after completion of the reaction it was

- 20^{\circ} .

If optical rotation per mole of A,B &C are 60

^{\circ}, 40

^{\circ}

- 80^{\circ} .

Calculate half life of the reaction.

The optically active tartaric acid is named as $D - (+)$ tartaric acid because it has a positive

Q. The optical rotation of cane sugar in

0.5 N

25^{o} C

at various time intervals are given below

Time (min)	0	1435	11360	$\infty$
Rotation ( $^{o}$ )	34.50	31.10	13.98	-10.77

Predict the rate constant expression for the given first order reaction.

Here,

r_{0}

is the optical rotation at time = 0

r_{t}

is the optical rotation at time = t

r_{\infty}

is the optical rotation at time =

\infty

Q. The reaction

A (a q) \to B (a q) + C (a q)

is monitored by measuring optical rotation of reaction mixture at different time interval. The species

A, B

C

are optically active with specific rotations

20^{0}, 30^{0}

- 40^{0}

respectively. Starting with pure

A

if the value of optical rotation was found to be

{2.5}^{0}

6.93

minutes and optical rotation was

- 5^{0}

after infinite time. Find the rate constant for first order conversion of

A

B

C

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