Differential Equations: differential equations – #27232

Question: At t = 0, 1 mole of chemical A and 1 mole of chemical B are dissolved in a liter of water. Eventually, these chemicals will combine to produce 1 mole of chemical C. However, the reaction does not take place immediately. At any point in time, the rate at which chemical. C is produced is proportional to the product of the remaining number of moles of chemical A times the remaining number of moles of chemical B. Assume that at t = 0, there is no chemical C present at all, but by t = 1 minute, a half mole of chemical C has been produced. Let x(t) be the number of moles of chemical C in the solution after t minutes. Write an appropriate differential that determines x(t) and solve it. Determine all constants present in your solution.

log in

reset password

Back to
log in
Do NOT follow this link or you will be banned from the site!