Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half life of 3.33 h at 25∘c. After 9h , the fraction of sucrose remaining is ‘f’. The value of log101f is........... ×10−2(Rounded off to nearest integer)

K=0.693t1/2⇒0.6933.33⇒0.208K=2.303tlogR0R0.208=2.3039log1flog1f=0.813=81.3×10−2

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Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half life of $3.33 h$ at $25^{\circ} c$ . After 9h , the fraction of sucrose remaining is ‘f’. The value of $\log_{10} (\frac{1}{f})$ is........... $\times 10^{- 2}$ (Rounded off to nearest integer)

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$K = \frac{0.693}{t_{1 / 2}} \Rightarrow \frac{0.693}{3.33} \Rightarrow 0.208$

$K = \frac{2.303}{t} \log (\frac{R_{0}}{R})$

$0.208 = \frac{2.303}{9} \log (\frac{1}{f})$

$\log (\frac{1}{f}) = 0.813 = 81.3 \times 10^{- 2}$

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