Chapter 8: Multiple Reactions

Multiple Reactions

\( A + 2B \xrightarrow{k_{1A}} C \)

\( 3C + 2A \xrightarrow{k_{2C}} D \)

Before carrying out any calculations, make a sketch as to what you expect the molar flow rate profiles to look like

A blank graph with Fi on the y-axis and V on the x-axis. The top left corner is labeled with Fao and Fbo, but no data or curves are present.

Solution


 

 

 

 

 

 

\( A + 2B \xrightarrow{k_{1A}} C \)

\( 3C + 2A \xrightarrow{k_{2C}} D \)

Before carrying out any calculations, make a sketch as to what you expect the molar flow rate profiles to look like

A blank graph with Fi on the y-axis and V on the x-axis. The top left corner is labeled with Fao and Fbo, but no data or curves are present.

Solution


A is consumed in reactions 1 and 2, so Fa will steadily decrease

B is consumed in reaction 1, and once A is consumed, it will no longer be able to react and the flow rate will remain constant

C is produced in reaction 1, consumed in reaction 2, and therefore the molar flow rate will go through a maximum will also no longer be consumed once A is used up

D will be produced once C is formed and will continue to increase until A is consumed

A graph with Fi on the y-axis and V on the x-axis, displaying four labeled curves: A, B, C, and D. Curve A starts high and decreases over time. Curve B also decreases but at a slower rate. Curve C rises to a peak and then declines. Curve D steadily increases.

You may want to solve for these profiles quantatatively by using Polymath


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