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Login(-rA) = -dCA/dt = KCA^2
Solving the equation we will get (1/CA - 1/CA0) = Kt
Now we have to solve for 90% conversion so we have CA = 0.1 (as 90% is consumed) and assume CA0 = 1
Similarly for 45% conversion we have CA = 0.55 and CA0 = 1
for 90% conversion we will get Kt1 = 9 and for 45% conversion we will get Kt2 = 0.82
Now just divide kt1/kt2, so we will get t1/t2 = 11
I hope you got the solution