Calculating Change in Entropy: 1100 kg Cars Colliding at 75km/hr

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Homework Help Overview

The problem involves two 1100 kg cars colliding at a speed of 75 km/hr in opposite directions, resulting in a calculation of the change in entropy of the universe due to this collision. The scenario assumes a temperature of 15°C.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss using the relationship ∆S = k log(w) for entropy change, with some confusion about the meaning of 'w'. There are attempts to relate kinetic energy to the entropy change and questions about how to derive heat (Q) from mass and speed.

Discussion Status

The discussion is active, with participants offering various equations and clarifications about the concepts of entropy and energy in the context of the collision. There is no explicit consensus, but several lines of reasoning are being explored regarding the definitions and calculations involved.

Contextual Notes

Participants are navigating assumptions about the definitions of work and microstates, and there is a mention of the inelastic nature of the collision, which introduces additional complexity to the analysis.

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Homework Statement

Two 1100 kg cars are traveling 75 km/hr in opposite directions when they collide and are brought to rest. Estimate the change in entropy of the universe as a result of this collision. Assume T= 15oC



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The Attempt at a Solution

PLEASE GET ME STARTED I am physics retarded an equation would be nice...
 
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i imagine you're meant to use the relationship ∆S=k*log(w) where ∆s=entropy change, k is 1.380 6504(24)×10-23 J/K, and w is work...
work is kinetic energy, so...
got it?
 


Entropy can be calculated as:


S = k ln W ( w not as in work)

also you can use S = Q/T ---> Q being heat T ----> temperature,
I have learned that in thermo when they refer at universe is just whatever is outside your system. so define your boundary and i think it's pretty simple.
 


Also forgot to mention... you have an inelastic collision where two masses have momentum.! Remember that there is a release of energy in the form of heat because of the collision. I think that's the key for you to plug the formula as mentioned above.

However that guy who said w is work WRONG WRONG WRONG

W is the Wahrscheinlichkeit, the frequency of occurrence of a macrostate or, more precisely, the number of possible microstates corresponding to the macroscopic state of a system — number of (unobservable) "ways" in the (observable) thermodynamic state of a system can be realized by assigning different positions and momenta to the various molecules.

I know this because I just did a test on classical thermodynamics at uni ! =)
hope this helps you
 


Wait, how do I get Q (heat) from my mass and speed?
 

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