PROBLEMS 1. Accumulation represents the change in mass in the reactor per change in time. For a constant-volume system, it can be simply formulated as ,dc Accumulation = V" dt (28.1) where V = volume and e = concentration. Thus, a mathematical formulation for accu- mulation is volume times the derivative of e with respect to t. Solution. Equations (28.1) and (12.1) can be used to represent the mass balance for a single reactor such as the one shown in Fig. 28.1: v de V = Qcin - Qc dt (28.2) Accumulation = inputs – outputs Equation (28.2) can be used to determine transient or time-variable solutions for the reactor. For example, if c = co at t = 0, calculus can be employed to analytically solve Gn = 50 mg/m², Q = 5 m'/min, V = 100 m², and co = 10 mg/m², Use Euler's method to find the solution of e from t= 0 to 40 s with a step size (h) of 10 s.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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PROBLEMS
1. Accumulation represents the change in mass in the reactor per change in time. For
a constant-volume system, it can be simply formulated as
,dc
Accumulation = V“
dt
(28.1)
where V = volume and e = concentration. Thus, a mathematical formulation for accu-
mulation is volume times the derivative of e with respect to t.
Solution. Equations (28.1) and (12.1) can be used to represent the mass balance for a
single reactor such as the one shown in Fig. 28.1:
dc
V = Qcm - Qc
(28.2)
dt
Accumulation = inputs – outputs
Equation (28.2) can be used to determine transient or time-variable solutions for the
reactor. For example, if c = co at t = 0, calculus can be employed to analytically solve
G = 50 mg/m², Q = 5 m'/min, V = 100 m²., and co = 10 mg/m²,
Use Euler's method to find the solution of e from t = 0 to 40 s with a step size (h) of 10 s.
Transcribed Image Text:PROBLEMS 1. Accumulation represents the change in mass in the reactor per change in time. For a constant-volume system, it can be simply formulated as ,dc Accumulation = V“ dt (28.1) where V = volume and e = concentration. Thus, a mathematical formulation for accu- mulation is volume times the derivative of e with respect to t. Solution. Equations (28.1) and (12.1) can be used to represent the mass balance for a single reactor such as the one shown in Fig. 28.1: dc V = Qcm - Qc (28.2) dt Accumulation = inputs – outputs Equation (28.2) can be used to determine transient or time-variable solutions for the reactor. For example, if c = co at t = 0, calculus can be employed to analytically solve G = 50 mg/m², Q = 5 m'/min, V = 100 m²., and co = 10 mg/m², Use Euler's method to find the solution of e from t = 0 to 40 s with a step size (h) of 10 s.
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