a. Example 16-1. What fraction of the fluid spends 9 minutes or longer in the reactor? What

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a. Example 16-1. What fraction of the fluid spends 9 minutes or longer in the reactor? What fraction spends 2 minutes or less?

Example 16-1

A sample of the tracer hytane at 320 K was injected as a pulse into a reactor, and the effluent concentration was measured as a function of time, resulting in the data  shown in Table E16-1.1.  Pulse input
TABLE E16-1.1 TRACER DATAt (min) 00.51 234 56789 10 12 14 C (g/m) 0 0.6 1.458 10 8 6 4 3 2.2 1.6 0.6 0

The measurements represent the exact concentrations at the times listed and not average values between the various sampling tests.
1. Construct a figure showing the tracer concentration C(t) as a function of time.
2. Construct a figure showing E(t) as a function of time.

b. Example 16-3. How would the E(t) change if the PFR space time, τp, was reduced by 50% and τs was increased by 50%? What fraction spends 2 minutes or less in the reactor?

Example 16-3

Examples of early and late mixing for a given RTD Consider a second-order reaction being carried out in a real CSTR that can be modeled as two different reactor systems: In the first system an ideal CSTR is followed by an ideal PFR; in the second system the PFR precedes the CSTR. To simplify the calculations, let τs and τp each equal 1 minute, let the reaction-rate constant equal 1.0 m3/kmol·min, and let the initial concentration of liquid reactant, CA0, equal 1.0 kmol/m3. Find the conversion in each system. For the parameters given, we note that in these two arrangements the RTD function, E(t), is the same1 TCSTR E(t) N TPFR 1.0 TPFR T T = 1 min tk = 1 m/kmol and CAO = 1 kmol/m3 TA=-KC

Two graphs are shown. In the first graph, the vertical axis represents E of t and the horizontal axis represents time. The graph plotted is concave upward decreasing curve. The curve starts at (tau subscript PFR, 1 over tau subscript CSTR) and decreases gradually. In the second graph, the vertical axis represents F of t and the horizontal axis represents time. The curve plotted starts at (tau subscript PFR, 0) and increases gradually to a maximum value of F(t) equals 1. Here, T subscript p equals T subscript s equals 1 minute, tau K equals 1 meter cubed over kilo mole, and C subscript A0 equals 1 kilo mole per meter cubed. Also, r subscript equals negative k times (C subscript A) squared.

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