Real-World Applicationshard
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A consecutive first-order chemical reaction is modeled by Axrightarrowk1Bxrightarrowk2CA \\xrightarrow{k_1} B \\xrightarrow{k_2} C. The concentration of the intermediate is B(t)=A0frack1k2k1(ek1tek2t)B(t) = A_0 \\frac{k_1}{k_2 - k_1} (e^{-k_1 t} - e^{-k_2 t}). If k1=0.3k_1 = 0.3 min1^{-1} and k2=0.1k_2 = 0.1 min1^{-1}, at what time tmaxt_{max} (in minutes) does the concentration of BB reach its maximum?