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  • Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half life of <img alt="25.4 \mathrm{~min}" src="https://entra

Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half life of 25.4 \mathrm{~min}. The time required for the reduction of a 4.0 \mathrm{mM} sample of sucrose to 1.0 \mathrm{mM} is :
 

Option: 1

50.78 \mathrm{~min}
 


Option: 2

170.4 \mathrm{~min}
 


Option: 3

85.2 \mathrm{~min}
 


Option: 4

227.2 \mathrm{~min}


Answers (1)

best_answer

\mathrm{t_{1 / 2} =25.4 \mathrm{~min} }

\mathrm{k =\frac{0.693}{25.4}=0.0273 \mathrm{~min}^{-1} }

\mathrm{t =\frac{2.303}{k} \log \left\{\frac{A_0}{A_0-x}\right\} }

\mathrm{ =\frac{2.303}{0.0273} \log \left\{\frac{4}{1}\right\} }

\mathrm{ t =\frac{1.3865}{0.0273} }

\mathrm{ t =50.78 \mathrm{~min} }

Hence option 1 is correct.





 

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Gunjita

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