Explore BrainMass
Share

Mixture problem

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

Please solve using separation of variables method.

A certain chemical is converted into another chemical by a chemical reaction. The rate at which the first chemical is converted is proportional to the amount of this chemical present at any instant. Ten percent of the original amount of the first chemical has been converted in 5min.

a)What percent of the first chemical will have been converted in 20min?
b)In how many minutes will 60% of the first chemical have been converted?

© BrainMass Inc. brainmass.com September 19, 2018, 1:05 am ad1c9bdddf - https://brainmass.com/math/numerical-analysis/mixture-problem-differential-equation-99179

Solution Preview

Please see the attached file.

A certain chemical is converted into another chemical by a chemical reaction. The rate at which the first chemical is converted is proportional to the amount of this chemical present at any instant. Ten percent of the original amount of the first chemical has been converted in 5min. ...

Solution Summary

This provides an example of solving a mixture problem using a differential equation. The percent of the first chemical which will have been converted is determined.

$2.19