JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ck153
An acid-catalysed ester hydrolysis is followed by titration. The titres are 10.0 mL at t = 0, 20.0 mL at t = 20 min and 30.0 mL at infinite time. Assuming first-order kinetics (ln2=0.693), which statements are correct?
AThe rate constant is 0.0693 min−1
BThe half-life is 20 min
CThe titre at t = 60 min is 27.50 mL
DThe titre at t = 40 min is 25.00 mL
Answer: B, C, D
V∞−Vt falls from 20 to 10 mL in 20 min, so t1/2=20 min and k=0.693/20=0.03465min−1 (not 0.0693). After 2 half-lives 20/4 remains: V=25.00 mL; after 3 half-lives V=27.50 mL.