Given two variables, X and Y, the rate of X relative to Y is X/Y.
It is not a even a valid equation since "rate" is not a well-defined term. Rate is simply the average change in something per unit of time. If properly defined, it is an equivalence relationship.
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
r=[A]m[B]n APPLEX
Rate of change = amount of change in some period of time/amount of time for the change
A proportion is an equation in which 2 fractions are set equal. A rate is the ratio of change of two things. Speed is a rate, the ratio of distance to time.
When an equation is balanced, the rate of the forward reaction equals the rate of the reverse reaction.
You need to know the rate of the reaction, as well as the concentrations of all reactants. Then you plug those values into the equation of rate = k[A][B] or whatever the rate equation happens to be.
An Arrhenius equation is an equation which approximates the dependence of the rate of any chemical reaction on the temperature.
An equation that relates the reaction rate to the concentration of the reactants
You need to know the rate of the reaction, as well as the concentrations of all reactants. Then you plug those values into the equation of rate = k[A][B] or whatever the rate equation happens to be.
Rate = k[A]m[B]n
The chemical equation is the word expression of a chemical reaction.The rate of reaction give information about the speed of this reaction.
A rate constant
They are experimentally determined exponents.
The unit of the rate constant in a 1st Order reaction rate equation (NOT the 'Arrhenius equation', as stated in the question) is One over Time.General form of a reaction rate equation :rate (mol.L-1.time-1) = [rate constant(Ln-1.mol1-n.time-1)]*[Concentration()]nwhere:* n is the Order of the rate equation (that is of the rate limiting step) * all units are (italicalised) between brackets It can easily be seen in this that for n=1 (1st Order) the equation is:r = k * C1and in units:mol.L-1.time-1 = (L0.mol0.time-1)*(mol.L-1)1so:(mol.L-1.time-1) = (time-1)*(mol.L-1)Only the value of the rate constant k is depending on temperature only (cf. Arrhenius equation), though temperature is NOT in its unit.
The equation is called the rate law equation. For the reaction aA+bB =>cC+dD the rate law would be rate = k[A]^m[B]^n where k is the rate constant and m and n are the "order" with respect to each reactant. m and n must be determined experimentally and may or may not be the same as the coefficients a and b.
The Arrhenius equation was created by Svante Arrhenius in 1889, based on the work of Dutch chemist J. H. van't Hoff. The rate equation shows the effect of changing the concentrations of the reactants on the rate of the reaction.