Show that the leakage rate of hydrogen peroxide at any time

Assignment Help Chemistry

Reference no: EM131104262

A solution containing hydrogen peroxide with a mass fraction xp0 (kg H2 O2/kg solution) is added to a storage tank at a steady rate m0 (kg/h). During this process the liquid level reaches a corroded spot in the tank wall and a leak develops. As the filling continues, the leak rate m1 (kg/h) becomes progressively worse. Moreover, once it is in the tank the peroxide begins to decompose at a rate rd (kg/h) = kMp where Mp (kg) is the mass of peroxide in the tank. The tank contents are well mixed, so that the peroxide concentration is the same at all positions. At a time t = 0 the liquid level reaches the corroded spot. Let M0 and Mp0 be the total liquid mass and mass of peroxide, respectively, in the tank at that moment, and let M(r) be the total mass of liquid in the tank at any time thereafter.

(a) Show that the leakage rate of hydrogen peroxide at any time is m1 Mp/M.

(b) Write differential balances on the total tank contents and on the peroxide in the tank, and pro vide initial conditions. Your solution should involve only the quantities m0, m1, xp0, k, M. M0, Mp, Mp0, and t.

Reference no: EM131104262

Questions Cloud

The trial balance of blues traveler corporation : (Corrected Trial Balance) The trial balance of Blues Traveler Corporation (see next page) does not balance.An examination of the ledger shows these errors.

Summarize how a nurse would handle physical assessments : Summarize how a nurse would handle physical assessments, examinations, education, and communication differently with children versus adults. Consider spirituality and cultural differences in your answer.

Calculate the diameter of the capillary : Suppose you have a cylindrical glass tube with a thin capillary opening, and you wish to determine the diameterof the capillary. You can do this experimentally by weighing a piece of the tubing before and after filling aportion of the capillary with ..

The william graham entertainment company : The William Graham Entertainment Company will be opening a new box office where customers can come to make ticket purchases in advance for the many entertainment events being held in the area. Simulation is being used to analyze whether to have on..

Show that the leakage rate of hydrogen peroxide at any time : Write differential balances on the total tank contents and on the peroxide in the tank, and pro vide initial conditions. Your solution should involve only the quantities m0, m1, xp0, k, M. M0, Mp, Mp0, and t.

Relationship between rem sleep versus non-rem sleep : Describe some reasons why people in our society are more sleep deprived now than in your grandparents' generation and describe the evidence that shows the relationship between REM sleep versus non-REM sleep and dreaming.

Discuss five types of control that would apply : As you are planning the annual audit of Norton Corporation, Comment on the manager's contention. Discuss five types of control that would apply to this microcomputer application.

Why is corporate finance important to all managers : What is the future value of an initial $100 after 3 years if it is invested in an account paying 10 percent annual interest? Why is corporate finance important to all managers?

Why is corporate finance important to all managers : Draw time lines for (a) a $100 lump sum cash flow at the end of year 2, (b) an ordinary annuity of $100 per year for 3 years, and (c) an uneven cash flow stream of -$50, $100, $75, and $50 at the end of years 0 through 3.Why is corporate finance impo..

User Account

All Pages