A batch reactor converts component A into B, which in turn decomposes into C where k 1 k 10 e E 1 RT and k 2 k 20 e E 2 RT The concentrations of A and B are denoted by x 1 and x 2 , respectively The reactor model is dx 1 dt k 10 x 1 e E 1 RT dx 2 dt k 10 x 1 e E 1 RT k 20 x 2 e E 2 RT Thus, the ult...

The reactor equations are Where k 1 133510 10 e 75000 831T k 2 114910 17 ...

A batch reactor converts component A into B, which in turn decomposes into C: where k 1

Question:

A batch reactor converts component A into B, which in turn decomposes into C:

k, k, A → B → C where k₁ = k₁₀e^-E₁^ˆ•RT and k₂ = k₂₀e^-E₂^ˆ•RT.

The concentrations of A and B are denoted by x₁ and x₂, respectively. The reactor model is

dx₁ / dt = k₁₀x₁e^-E₁^/RT

dx₂ / dt = k₁₀x₁e^-E₁^/RT - k₂₀x₂e^-E₂^/RT

Thus, the ultimate values of x₁ and x₂ depend on the reactor temperature as a function of time. For

k₁₀ = 1.335 Ã— 10¹⁰ min^-1, k₂₀ = 1.149 Ã— 10¹⁷ min^-1
E₁ = 75,000 Jˆ•g mol, E₂ = 125,000 Jˆ•g mol
R = 8.31 Jˆ•(g mol K) x₁₀ = 0.7 molˆ•L, x₂₀ = 0
Find the constant temperature that maximizes the amount of B, for 0 ‰¤ t ‰¤ 6 min.