The diagram representing the relationship between total spin angular momentum ( S ) and the z-component of spin angular momentum ( S z ) for the electron spin is to be drawn. Concept introduction: Angular momentum is shown by the orbitals when the atom is rotating. The energy of rotation of atom depends upon the quantum number ( l ) but does not depend upon the quantum number ( m l ) as the total angular momentum of the atom is quantized. Similarly the motion of electron is also accompanied by angular momentum.

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20. The Brusselator. This hypothetical system was first proposed by a group work- ing in Brussels [see Prigogine and Lefever (1968)] in connection with spatially nonuniform chemical patterns. Because certain steps involve trimolecular reac tions, it is not a model of any real chemical system but rather a prototype that has been studied extensively. The reaction steps are A-X. B+X-Y+D. 2X+ Y-3X, X-E. 305 It is assumed that concentrations of A, B, D, and E are kept artificially con stant so that only X and Y vary with time. (a) Show that if all rate constants are chosen appropriately, the equations de scribing a Brusselator are: dt A-(B+ 1)x + x²y, dy =Bx-x²y. di

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Chapter 16, Problem 16.19E

Interpretation Introduction

Interpretation:

The diagram representing the relationship between total spin angular momentum (S) and the z-component of spin angular momentum (Sz) for the electron spin is to be drawn.

Concept introduction:

Angular momentum is shown by the orbitals when the atom is rotating. The energy of rotation of atom depends upon the quantum number (l) but does not depend upon the quantum number (ml) as the total angular momentum of the atom is quantized. Similarly the motion of electron is also accompanied by angular momentum.

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20. The Brusselator. This hypothetical system was first proposed by a group work- ing in Brussels [see Prigogine and Lefever (1968)] in connection with spatially nonuniform chemical patterns. Because certain steps involve trimolecular reac tions, it is not a model of any real chemical system but rather a prototype that has been studied extensively. The reaction steps are A-X. B+X-Y+D. 2X+ Y-3X, X-E. 305 It is assumed that concentrations of A, B, D, and E are kept artificially con stant so that only X and Y vary with time. (a) Show that if all rate constants are chosen appropriately, the equations de scribing a Brusselator are: dt A-(B+ 1)x + x²y, dy =Bx-x²y. di

Problem 3. Provide a mechanism for the following transformation: H₂SO A Me. Me Me Me Me

You are trying to decide if there is a single reagent you can add that will make the following synthesis possible without any other major side products: xi 1. ☑ 2. H₂O хе i Draw the missing reagent X you think will make this synthesis work in the drawing area below. If there is no reagent that will make your desired product in good yield or without complications, just check the box under the drawing area and leave it blank. Click and drag to start drawing a structure. There is no reagent that will make this synthesis work without complications. : ☐ S ☐