JEE Advanced levelSingle correct optionDifficulty 3 of 3ck093
A second order reaction 2AP (−d[A]/dt=k[A]2) has k=2.0×10−3Lmol−1s−1 at 300K and Ea=60kJmol−1 (independent of temperature). Take R=8.314JK−1mol−1. The half-life at 320K for [A]0=0.50molL−1 is closest to
A1000s
B222s
C77s
D111s
Answer: B
Arrhenius: ln(k2/k1)=REa(3001−3201)=1.503, so k2=0.0090Lmol−1s−1. For second order t1/2=1/(k2[A]0)=1/(0.0090×0.50)=222s.