For a chemical reaction, the rate of change of the concentration of component A is described by the differential equation: dC -k,C – k,C dt Where CA concentration of A (moles/liter) ki rate constant = 2.7 hr-1 k2 rate constant = 0.8 hr-1 (moles/liter)1 The initial concentration of A is: CA (0) = 3.0 mole/liter Determine the concentration of A at t = 1/4 hr, 1/2 hr, using the fourth order Runge-Kutta method, with h= 1/4 hr.
For a chemical reaction, the rate of change of the concentration of component A is described by the differential equation: dC -k,C – k,C dt Where CA concentration of A (moles/liter) ki rate constant = 2.7 hr-1 k2 rate constant = 0.8 hr-1 (moles/liter)1 The initial concentration of A is: CA (0) = 3.0 mole/liter Determine the concentration of A at t = 1/4 hr, 1/2 hr, using the fourth order Runge-Kutta method, with h= 1/4 hr.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For a chemical reaction, the rate of change of the concentration of component
A is described by the differential equation:
-k,Ca – k,C
dt
Where
CA concentration of A (moles/liter)
ki rate constant = 2.7 hrl
k2 rate constant
= 0.8 hr-' (moles/liter)1
The initial concentration of A is: CA (0) = 3.0 mole/liter
Determine the concentration of A at t = 1/4 hr, 1/2 hr, using the fourth order
Runge-Kutta method, with h= 1/4 hr.
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