Deriving the Decay Rate Function from Mass & Time Graphs

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Homework Help Overview

The discussion revolves around deriving the decay rate function from provided mass and time data, specifically through graphical analysis of mass versus time and logarithmic mass versus time. The original poster seeks assistance in understanding how to derive the function for the rate of decay based on their graphs.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the meaning of "rate of decay," with some suggesting it may relate to half-life. The original poster mentions a specific decay formula and provides details about their logarithmic graph, including intercept and gradient. Others inquire about the data and suggest relating various concepts like mean life and decay rate.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the decay rate and how the original poster's data might support their findings. Some guidance has been offered regarding the relationships between decay concepts and potential methods for analysis, but no consensus has been reached.

Contextual Notes

The original poster has not provided specific results for their mass versus time data, which may be necessary for further discussion. There is an emphasis on deriving understanding rather than simply stating a formula.

sina_m7
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Hi.
We are given a table containing values of mass(m) and time(t). We have been asked to plot graphs of (m) against (t) and then log(m) against (t).

The question is:
FROM YOUR GRAPHS, DETERMINE THE FUNCTION FOR THE RATE OF DECAY.

Of course i know the formula but have no clue how to derive that. i need some help.
 
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when you say rate of decay are you referring to the half life? and you don't need to derive it but just say how your data supports it. Do you have any more specific information on your problem? such as your results for the m vs t and log(m) vs t?
 
dacruick said:
when you say rate of decay are you referring to the half life? and you don't need to derive it but just say how your data supports it. Do you have any more specific information on your problem? such as your results for the m vs t and log(m) vs t?

sorry, for the "rate of decay" I am referring to the formula m=m(0)*e^-kt

I have the following info when plotted log(m) vs t:
It is a straight line graph,
c(log(m) intercept) = 4.5
gradient = -0.25
 
so what would be your rate of decay from the graph?
 
Hi,
do you about the relations between meanline, halflife, decay rate and their invese..?
Just relate then and see you will get the answer.
You can also do a exponential fit for your plot!
good luck
 
thats what i need help with
 

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