# rate equation

(redirected from Second order rate constant)

## rate e·qua·tion

a mathematical expression for a chemical, radiochemical, or enzyme-catalyzed reaction.
References in periodicals archive ?
In this, qe is the value of dye and deltamethrin at the equilibrium (mg/g), while qt is the value of dye and deltamethrin at the time t (mg/g), and pseudo second order rate constant is k2 (min-1).
The second order rate constant k 2 was calculated as represented in Equation 13.
,where [k.sub.TMP] is second order rate constant, t is reaction time, [[TMP.sub.0]] is initial of TMP concentration, and [TMP] is final of TMP concentration in product.
From the slope of line, the value of second order rate constant k' was calculated to be 21.85 [dm.sub.3]/mol/s.
In fact, the experimental data indicated that the second order rate constant (k =74.6 [min.sup.1] x [M.sup.-1], Figure 7) of this reaction under mentioned condition in (I) (page 7, [10.sup.-2] M concentration of each compound) is equal to the second order rate constant ([k.sub.over] = 74.2 [min.sup.1]x [M.sup.-1], Figure 11), (equation (IV), [10.sup.-2] M of each compound (1 and 2) and [10.sup.-3] M of compound 3) under fifth experiment.
In fact, the obtained rate constant (12.40) for (4) from the sixth experiment is equal to second order rate constant (12.64) of third experiment ((1) for [10.sup.-2] M of each compound).
where, [C.sub.t] is the concentration of dye at time t (mg/L), [C.sub.o] is the initial concentration of dye (mg/L) and [k.sub.2] is second order rate constant (g/mg x min).
Where k 2 is the pseudo second order rate constant, A is pre-exponential factor of the Arrhenius equation, E a is the activation energy of the reaction, R is gas constant (8.314 Jmol -1 K -1 ), T is absolute temperature in K, C i is initial concentration before adsorption and C f is concentration left in solution after adsorption.
where, C is concentration (mgr [gr.sup.-1] [L.sup.-1]), [D.sub.x] is hydro dynamical dispersion ([m.sup.2] [s.sup.-1]), [u.sub.x] is the contaminant transport velocity (m [s.sup.-1]), [[rho].sub.b] is adsorbent bulk density, n is a porosity value, [Q.sub.0] maximum adsorption capacity, [K.sub.L] is the Langmuir constant, [q.sub.e] sorbed concentration at equilibrium (mgr [gr.sup.-1]) and [K.sub.2] pseudo second order rate constant. All of these parameters that were introduced in equation 1 and 2 determine at lab and were show in Table 2.
The second order rate constant for the reaction of BzV+ with bCD was determined as 4.93 M-nS-.
At 5oC, in solvent HMPA with GCE, the observed second order rate constant k2 for 1,2DNB (1.05 A-102 Lmol-1s-1) and 1,3-DNB (1.95A-102 Lmol-1s-1) are comparable but that of 1,4-DNB (2.86A-102Lmol-1s-1) is higher.
The values of [k.sub.obs] in each sugar-xidant reaction as shown in table 1 increases with increase in sugar concentration .This agree with literature reports. The second order rate constant ([k.sub.2]) was obtained from the slope of linear plot of pseudo- first order rate constant, [k.sub.obs] against substrate concentration table 2.

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