Calculating Time Constant Using Slope of ln(Temperature Dimensionless) vs. Time

AI Thread Summary
The discussion focuses on calculating the time constant (tau) using the slope from a graph of ln(temperature dimensionless) versus time. The slope provided is -0.0416, leading to the equation m = -1/tau. A user initially struggles with where to place the slope in the equations but ultimately realizes that tau can be calculated as tau = -1/slope. The user confirms that substituting the slope yields a time constant of approximately 24.04 seconds. The conversation highlights the relationship between the slope and the time constant in this context.
jrodmckis
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Given:

slope of the graph of ln(temperature dimensionless) vs. time

slope=-0.0416

-t/tau = ln(temperature dimensionless)

I don't know where to put the slope into the equations?

I know that the time constant is the tau.

Also have -1/tau equation.

I tried this:

-(1/0.0416) = 24.04 sec is this the time constant?
 
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nevermind i figured it out.

m=-1/tau

and the slope is given
 
Moved from General Physics to homework forums.
 
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