How can I determine the atomic weight for nitrogen and oxygen with 6 given nitrogen oxides?

FurygbaJruy
timer Asked: Jun 1st, 2018

Question Description

Question 2.

I assume the binding energies make up for the molecular weight and are also a variable? I have to use matrix operations in order to solve this question. Help!

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The Hague University of Applied Sciences Faculty for Technology, Innovation and Society Process and Food Technology, PFT Topics in Mathematics Year 3(Regular)/Year 2(Fast) Block 4 Assignment 2017-2018 1. Consider the following network of reactions that obey first-order kinetics and are taking place in a continuous stirred-tank reactor (CSTR): B A D C E "#$ The reaction rates !"%∙"'() based on the known rate constants result in the following: 𝑟+ = −2𝐶+ 𝑟0 = 𝐶+ 𝑟1 = 𝐶+ − 2 𝐶1 𝑟3 = 𝐶1 𝑟4 = 𝐶1 "% The volume of the CSTR, 𝑉 is 1 𝑚8 and the volumetric flow-rate is 1 "'(. According to mass balance for component A, 𝑑𝑁+ = 𝐹+,'( − 𝐹+,#?@ + 𝑟+ 𝑉 𝑑𝑡 "#$ "#$ "#$ "#$ !"'() = !"'() − !"'() + !"%∙"'() (𝑚8 ) Assume steady-state and the inlet conditions as: 𝑚𝑜𝑙 𝐶+D = 1 8 , 𝐶0D = 𝐶1D = 𝐶3D = 𝐶4D = 0 , 𝑚 Find the concentrations 𝐶+ , 𝐶0 , 𝐶1 , 𝐶3 , 𝐶4 . Show your solution using any 2 of the following methods: (i) Cramer’s Rule (ii) Inverse Matrix (iii) Gaussian Elimination (iv) Jacobi’s method (v) Gauss-Seidel method The Hague University of Applied Sciences Faculty for Technology, Innovation and Society Process and Food Technology, PFT Topics in Mathematics Year 3(Regular)/Year 2(Fast) Block 4 2. Nitrogen and oxygen have atomic weights of 14 and 16 respectively. Use the molecular weights of the six nitrogen oxides given below to compute the atomic weights for nitrogen and oxygen, correct to 3 decimal places: NO 30.006 N2O3 76.012 N2O 44.013 N2O5 108.010 NO2 46.006 N2O4 92.011 3. Multiple Linear Regression analysis The product yield was measured for a reaction whereby the temperature, pressure and reaction time were varied. Temperature (oC) 30 30 30 30 80 80 80 80 Pressure (atm) 1 1 2 2 1 1 2 2 Reaction time (h) 3 5 3 5 3 5 3 5 Product yield (%) 10 30 20 40 50 60 40 20 (i) Make a multiple linear regression model to predict product yield. Use linear transformation to transform the given data into a matrix of 1 and -1, and include interaction effects. (ii) Which factor has the most influence on product yield? Are interaction effects significant in this case? The Hague University of Applied Sciences Faculty for Technology, Innovation and Society Process and Food Technology, PFT Topics in Mathematics Year 3(Regular)/Year 2(Fast) Block 4 Product • Submit a MS WORD document with clear explanations of your calculations and answers to the questions. All equations should be clearly shown. • Attach a MS EXCEL document to show calculations. Note that I cannot grade if I cannot understand you. Procedure • This is an individual assignment. • Upload your assignment on blackboard. • Deadline: • If you are too late for the 1st deadline, you may submit before the 2nd deadline (re-sit), which means that you have forfeited one opportunity. • Students, who fail the 1st time or who want to improve their grades, will be given a re-sit opportunity with a new assignment. • Deadline (re-sit): Week 8, Monday, 11 June 2018, 09:00 Week 11, Monday, 2 July 2018, 09:00
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