Final answer:
Modifying a known functional to solve for another related quantity is possible through stoichiometry and using balanced chemical equations, conversion factors, and checking for reasonable solutions.
Step-by-step explanation:
Yes, it is possible to modify a known functional to obtain a solution for another quantity related to it. In the context of Chemistry, this often involves using stoichiometry and balanced chemical equations to relate quantities of different substances. For example, knowing the volume and concentration of a solution containing one reactant allows us to determine how much of another reactant's solution is needed by applying the molar ratios from the balanced equation.
To do this, one would:
- Identify the "given" information and what is being asked to "find."
- List other known quantities related to the problem.
- Substitute the known values, along with their units, into the appropriate equation to obtain numerical solutions with units.
- Check if the solution is reasonable and makes sense for the given scenario.
We also make use of conversion factors, similar to translating from feet to yards, to translate between quantities of different substances. This is rooted in the concept that ingredients in a recipe can be represented with mathematical relationships that allow conversions between quantities, based on the known ratios.