Order equation notice easily

Aug 6th, 2022
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How to order equation notice

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in this video were going to talk about how to solve integrated rate law problems so if you have a pen and a sheet of paper with you feel free to use them to take down some notes which is going to be useful later on as we work on some problems in this video so lets begin our discussion with the rate law expression for each of these ordered reactions so for zero order reaction the rate is equal to k times a raised to the zero power anything raised to the zero power is one so the rate is simply equal to k a is a reactant so think of a reaction where lets say a turns into b so a is the reactant and b is the product so for a zero order reaction the rate of the reaction doesnt depend on the concentration of the reactant for a first order reaction the rate does depend on the concentration of the reactant its rate is equal to k times a raised to the first power for a second-order reaction the rate is equal to k times a raised to the second power so the order of the reaction is based on th

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For first-order reactions, the equation ln[A] = -kt + ln[A]0 is similar to that of a straight line (y = mx + c) with slope -k. This line can be graphically plotted as follows. Thus, the graph for ln[A] v/s t for a first-order reaction is a straight line with slope -k.
If the differential equation is of the form, (dy/dx) + Py = Q, then it is known as a first-order linear differential equation. Here, P and Q are constants or the functions of x. Choose g(x) in such a way that the right hand side of the equation becomes the derivative of y.
y=t2+1 y = t 2 + 1 is a first order linear differential equation; F(t,y,y)=yt21.
The order of a differential equation is defined to be that of the highest order derivative it contains. The degree of a differential equation is defined as the power to which the highest order derivative is raised. The equation (f‴)2 + (f)4 + f = x is an example of a second-degree, third-order differential equation.
A first order differential equation is an equation of the form F(t,y,˙y)=0. A solution of a first order differential equation is a function f(t) that makes F(t,f(t),f(t))=0 for every value of t.
Any first-order linear differential equation can be written in the form y+p(x)y=q(x).
The term first order means that the first derivative of y appears, but no higher order derivatives do. Example 17.1.2 The equation from Newtons law of cooling, ˙y=k(My), is a first order differential equation; F(t,y,˙y)=k(My)˙y.

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