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The hydrolysis of sucrose was studied wi...

The hydrolysis of sucrose was studied with the help of calorimeter and following data were
`{:(,"Collected time (min.)",:0,70,oo),(,"observed rotation (degrees)",:44,16.5,-11):}`
the time taken when reaction mixture wil be optically inactive ? (Given : In 2=0.7,in 3=1.1, in 5=1.6)

A

16 min.

B

69.47 min.

C

160 min.

D

1.6 min.

Text Solution

Verified by Experts

The correct Answer is:
C

`k=(1)/(t)ln((r_(0)-r_(oo))/(r_(1)-t_(oo)))`
`k=(1)/(70)ln((44+11)/(16.5+11))`
`k=(l n 2)/(70)`
when solution is optically inactive `r_(1)=0`
`:. k=(1)/(t)ln((r_(0)-r_(oo))/(0-r_(oo)))`
`(ln 2)/(70)=(1)/(t)ln((44+11)/(11))`,
`(0.7)/(70)=(1)/(t) xx 1.6`, t = 160 min
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