No. At best it has a sine rate but local topology plays a very significant role.
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There is no difference between them they are same rate constant is another name of specific rate constant
constant rate means that rate which is fixed and can not be changed. varying rate is that rate which is not fixed and can be change easily.
The reaction rate is the rate at which the moles of substance change that varies with both temperature and concentration of the reactants. The specific rate constant is a proportionality constant that will vary only with temperature.
I depends on the problem. The rate constant is different depending on the problem in which it occurs.
a non-stop rate * * * * * No it is not. A non-stop rate can be faster and slower and faster and faster still etc. That is NOT a constant rate, A constant rate means the same amount for any unit of time in the whole time interval. The rate must not change at all from start to finish.