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For the following mechanism:

N205------>k1<--------k2 N02 + N03

N0 + N03 ------>k3 2N02

Using the steady-state assumption, find the expression for dPN02/dt

Note. The k1 is on top of the right pointing arow and k2 is below the left pointing arrow and the arrows are like they are in equilibrium. The k3 is above the lone arrow in the second reaction. In the find expression part the N02 is a subscript of P.

#### Solution Preview

According to steady state approximation change intermdiate concentration is taken as constant.

Here in the first ...

#### Solution Summary

This solution uses the concept of steady-state equilibrium to determine the expression for dP[NO2]/dt with step-by-step explanations and calculations.

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## Linear Programming (LP) Problem. Assuming these numbers to be representative, and that transfers /re-enrollment occur twice yearly, what will be the market share distribution at the end of the next cycle? What will be the market distribution at the end of the next year? What will be the market distribution at the end of the 5-year planning period of interest to the Dean? If changes are not made that effect a change in the enrollment rate, the assumptions for a steady state population (exits=entrants) hold true, and there are no other significant schools entering the competition that changes the numbers for "other" category, what will be the distribution when the competition for students "steady out" (reaches steady state)?

E-1. The market for on-line degrees and courses is becoming crowded and quality and responsiveness seem to play a role in attracting students to continue in a program. The Academic Dean of Ed Marshal Automotive University (EMAU) is interested in how EMAU is doing in the on-line area. He commissioned a study by a faculty-staff committee to try and compare how EMAU will fair in the next five years.

The study group compared EMAU with other schools with very similar programs - West State U., River Valley U., and State Tech - and added a category that includes all other competition and those who leave on-line education. The study group estimated that new student influx approximated student egress, whether by finishing or dropping on-line education.

Presently EMAU has about 30% of the market with each of the other named schools having approximately 20%, and the "other" category having about 10%. The study group found that EMAU retained only 45% of their students, and from what they could gather, they estimated that of those leaving about 5% went to West State U., 15% went to River Valley, and 15% to State Tech. The other 20% of those leaving either left on-line education or went elsewhere.

From various sources the study group found that retention rate for West State U. was 55%, for River Valley U. and State Tech, 75% each and the "other" category 80%.

The transfer rates for those leaving West State were 5% to EMAU, 10% each to River Valley and State Tech, and 20% to "other." For those leaving River Valley the transfer rates were approximately 0% to EMAU 5% to West State and 10% each to State Tech and "other." Of those not re-enrolling at State Tech the estimated numbers were 5% each for EMAU, West State and River Valley and 10% to "other."

Assuming these numbers to be representative, and that transfers /re-enrollment occur twice yearly, what will be the market share distribution at the end of the next cycle?
What will be the market distribution at the end of the next year?
What will be the market distribution at the end of the 5-year planning period of interest to the Dean?
If changes are not made that effect a change in the enrollment rate, the assumptions for a steady state population (exits=entrants) hold true, and there are no other significant schools entering the competition that changes the numbers for "other" category, what will be the distribution when the competition for students "steady out" (reaches steady state)?

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