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JEE Main 20266 AprilMorning Shift
Exam
JEE Main
Year
2026
Date
6 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Biomolecules

JEE Main 2026 · 6 April · Morning Shift · Chemistry · Biomolecules

Sucrose hydrolyses in acidic medium into glucose and fructose by...

Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with t1/2=3t_{1/2} = 3 hour. The percentage of sucrose remaining after 66 hours is _______. (Nearest integer) (Given: log⁡2=0.3010\log 2 = 0.3010 and log⁡3=0.4771\log 3 = 0.4771)

Correct answer

0

Step-by-step solution

For a first order reaction, the amount of reactant remaining after nn half-lives is given by Nt=N02nN_t = \dfrac{N_0}{2^n}.

Given t1/2=3t_{1/2} = 3 hours and total time t=6t = 6 hours.

Number of half-lives, n=tt1/2=63=2n = \dfrac{t}{t_{1/2}} = \dfrac{6}{3} = 2.

The amount of sucrose remaining is Nt=N022=N04N_t = \dfrac{N_0}{2^2} = \dfrac{N_0}{4}.

Percentage of sucrose remaining =NtN0×100=14×100=25= \dfrac{N_t}{N_0} \times 100 = \dfrac{1}{4} \times 100 = 25.

Answer: 2525
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