The moment of inertia for acetylene, HC ≡ CH molecule is to be calculated. Concept introduction: Rigid rotor is a mechanical model of a 3 -dimensional rigid object. To locate such an object in space, it requires three coordinates. In a rotation system, the energy is measured by the equation, E J = B J ( J + 1 ) . B is known as rotational constant, which is related to the reduced mass and bond length.

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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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Question

Chapter 14, Problem 14.19E

Interpretation Introduction

Interpretation:

The moment of inertia for acetylene, HC≡CH molecule is to be calculated.

Concept introduction:

Rigid rotor is a mechanical model of a 3-dimensional rigid object. To locate such an object in space, it requires three coordinates. In a rotation system, the energy is measured by the equation, EJ=BJ(J+1). B is known as rotational constant, which is related to the reduced mass and bond length.

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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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