Once you have completed the Degrees of Freedom analysis, you literally have a roadmap for solving the system.

As in any simple algebraic problem (OK, it is a **system** of algebraic equations so maybe its not THAT simple!) you have matched the number of unknowns with the number of equations. You now simply *use those equations to find those unknowns*!

OUTCOME:

Do the calculations suggested in the degree-of-freedom analysis

TEST YOURSELF

Let's actually solve the example that we have already looked at...

**Let's start with material balances**....

Using a differential balance equation (since it is a continuous process), let's write down our material balance equations....

If we can solve them, let's do so now....

**Next**, let's write down our process specifications....

If we can solve them, do it now...

**Finally**, let's write down our physical constraints....

If we can solve them, do it now...

IMPORTANT

We may need to solve several (all) of these simultaneously or there may be a "preferred" order in which we should solve them!

TEST YOURSELF

Try one yourself...