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Sucrose decomposes in acid solution into glucose and fructose according to the first order rate law, witht1/2=3.00 hours. What fraction of sample of sucrose remains after 8 hours?

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a
1.158 M
b
2.518 M
c
0.158 M
d
3.182 M

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detailed solution

Correct option is C

For a first order reaction,
k=2.303/tlog[R]0/[R]
It is given that, t1/2=3.00 hours
Therefore, k=0.693/t1/2
 =0.693/3h1 =0.231h1
Then,0.231 h-1=2.303/8 hlog[R]0/[R]

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