The given rxn below is an autocatalytic rxn: A+R→R+R In A, the rxn is 1st order while in R, it is in 2nd order, with k as rate constant. In a constant temperature and constant volume batch reactor, derive the expression for X₁ versus time (concentration profile for A). Given Co-6 M, CAO-2 M, k = 0.005 (liter/mole)² min¹ . Determine the time needed to get a conversion of A that is ninety percent.

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