Question: Two substances, A and B, are being converted into a single compound C. In the laboratory it has been shown that for these substances, the

Two substances, A and B, are being converted into a single compound C. In the laboratory it has been shown that for these substances, the following law of conversion holds: The time rate of change of the amount x of compound C is proportional to the product of the amounts of unconverted substances A and B. Assume the units of measure so chosen that one unit of compound C is formed from the combination of one unit of A with one unit of B. If at time t = 0 there are a units of substance A, b units of substance B, and none of compound C present, show that the law of conversion may be expressed by the equation

Solve this equation with the given initial conditions.

dx dt =k(a - x)(b-x)

Step by Step Solution

★★★★★

3.33 Rating (147 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

It has been shown that foreign companies listed on U.S. stock exchanges are valued more than those from the same countries that are not listed in the United States. Explain why U.S.-listed foreign...

It has been shown that so-called poison pills rarely prevent a takeover from occurring. In fact, sometimes when a firm announces that it is instituting a poison pill, its stock price goes up. Why?

It has been shown that the fertilizer magnesium ammonium phosphate, MgNH4PO4, is an effective supplier of the nutrients necessary for plant growth. The compounds supplied by this fertilizer are...

Republic of Iraq Ministry of Higher Education and Scientific Research University of Technology Chemical Engineering Department MODELING AND SIMULATION OF FCC RISERS A RESEARCH SUBMITTED TO THE...

UNIT 5 QZ, Q-20 UNIT 5 / UNIT 8 QUESTIONS KEEP ANSWERS SEPARATE BY UNITS UNIT II STUDY GUIDE Consumer Mathematics Reading Assignment See information below. Key Terms 1. Add-on interest method 2....

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

(1) Write an equation (using the actual numbers on the income statement) that shows how operating income is computed by the Coca Cola Co. (2) What item(s) are included as part of other...

Research Report Students name Professors name Institution Date Contents Title .. 3 Abstract 3 Acknowledgement .3 Introduction .4 Main body of Report/Methodology 5 Various kinds of isolation.6...

Hi, I have an Assignment for my Finance Subject. I have attached the necessary documentation here for you to view including the Lecture slides of all the Topics covered for this assignment. Please...

Why is it important to revisit KPIs more than once annually? How are KPls connected to success? A leader with an autocratic leadership style is typically the type of leader who would promote great...

The answers should identify the capabilities,understandings and knowledge you have gained during the course and how your learning has affected your abilities in a group. 3. discuss the pros and cons...

On November 14, US department store chain Macy's alerted customers of a security breach discovered in October on its website that led to the compromise of payment card details and customer...

Recommend one strategy at each level - Corporate Level, Business Level and Functional Level for Airbnb arise from pandemic

What is the purpose of code of conduct will it impact at the goal decisions how will it be used by the organization and it\'s associates

Is there a common thread in the two situations of personal gain? What is different about the Gates scenario and those of the Birmingham officials?

$885.000 On December 31, 2019. the Irwin Company's accounting records show an unadjusted $60.000 credit balance in the Deferred Income Tax Liability account. The balance is related to the $150.000...

Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero.

List the arguments (variables) of which an FX call or put option model price is a function. How do the call and put premiums change with respect to a change in the arguments?

With regard to the Centralia case application in the chapter, how would the APV change if: a. The forecast of d and/or f is incorrect? b. Depreciation cash flows are discounted at K ud instead of i...

How does a time draft become a banker's acceptance?

A $25,000, 6.25% coupon bond has 21 1/2 years remaining until maturity. Calculate the bond premium if the required return in the bond market is 5.2% compounded semiannually.

Research psychologists are interested in finding out whether a persons breathing patterns are affected by a particular experimental treatment. To determine the general respiratory patterns of the n =...

After two years of the first five-year term at 6.7% compounded semiannually, Dan and Laurel decide to take advantage of the privilege of increasing the payments on their $110,000 mort- gage loan by...