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A solution and solid state study of niobium complexes University of ...

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Chapter 3<br />

A = ∑ ε<br />

cl (3.14)<br />

In chemical kinetics, the rate constant <strong>and</strong> reaction mechanism can be influenced by<br />

a variety <strong>of</strong> factors such as temperature, pressure, concentration, homogeneity <strong>and</strong><br />

sensitivity to air or light. If the system is kept at constant temperature, constant<br />

pressure <strong>and</strong> constant volume, the rate constant are now simply the rate <strong>of</strong> change<br />

in time <strong>of</strong> any <strong>of</strong> the reactants or products.<br />

3.6.1 Reaction rate <strong>and</strong> rate laws<br />

In a closed system, the rate <strong>of</strong> a chemical reaction can be defined as the change in<br />

concentration <strong>of</strong> a reactant or product per unit <strong>of</strong> time. The rate is defined as a<br />

positive quantity that is unaffected by the component whose concentration change is<br />

being measured. For a generalized chemical reaction:<br />

aA + bB cC + dD (3.15)<br />

The rate can be described as a derivative because the rate changes continually with<br />

time. Where t = time <strong>and</strong> the brackets indicate the concentration <strong>of</strong> the species:<br />

Rate = <br />

<br />

= <br />

<br />

52<br />

= <br />

<br />

= <br />

(3.16)<br />

The negative signs indicate the disappearance <strong>of</strong> the compounds. In general, the<br />

rate <strong>of</strong> reaction can be a function <strong>of</strong> the concentration <strong>of</strong> all the species present in a<br />

reaction mixture. Where k is the rate constant <strong>and</strong> the exponents x <strong>and</strong> y represent<br />

the order <strong>of</strong> the reaction with regards to the concentration <strong>of</strong> A <strong>and</strong> B:<br />

Rate = k[A] x [B] y (3.17)<br />

The rate constant (k) is independent <strong>of</strong> the concentrations A <strong>and</strong> B, but is influenced<br />

by environmental factors such as solvent <strong>and</strong> temperature changes.<br />

The order <strong>of</strong> the reaction is determined from the kinetic <strong>study</strong> <strong>and</strong> the sum <strong>of</strong> the<br />

exponents (Eq 3.17) gives the total order <strong>of</strong> the reaction. Experimentally, great<br />

difficulty is experienced in the determination <strong>of</strong> these values <strong>and</strong> in order to<br />

overcome this problem, pseudo-first order conditions are used. Under these

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