Strategy to Solve the Problem

By now you should be famiUar with the polynomial method of solving a differential equation. 

Rearrange the equation using one or more changes in variable to absorb physical constants into an equation with only pure numbers and the new variable(s). 

Check the equation to see if it blows up for some value of the variable. Try to solve a simpler version of the equation, which avoids the undefined behavior. If possible, change the variable to shift the solution function away from the rmdefined conditions. Factor out the well-behaved form of a partial solution. 

Attempt to substitute a polynomial with unknown coefficients into the equation hoping 

Check to see if there is a part of the problem that cannot be represented by any combination of integer powers of the variable In the rigid rotor case, we avoided this problem 

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This is a unit conversion problem. You should come up with the following strategy to solve the problem. 

First, the data are not provided in a typical way. For example, in the feed stream the information on H2O and impurities are given as a mass flow rate. In addition, at first glance, there are several variables. As was stressed earlier, it wiU be critical to complete Fig. 7.44 and then carefully determine the degrees of freedom. Then we will need to look at the whole picture and devise a good strategy to solve the problem. We might be able to calculate all the unknowns, but remember that our main object is to answer the questions. 

Besides synthesis of nanosized materials with particular structure, preparation of active/inactive composites is another strategy to solve the problem of volume expansion upon cycling. 

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